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Finding the Fourth Proportional to 1,517.02, 2,275.07 and 421.09

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Solution

The fourth proportional to 1,517.02, 2,275.07 and 421.09 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.02 : 2,275.07 = 421.09 : x
  2. Step 2: Convert to fraction form
    1,517.02/2,275.07 = 421.09/x
  3. Step 3: Cross multiply
    1,517.02x = 2,275.07 × 421.09
  4. Step 4: Simplify right side
    1,517.02x = 958,009.23
  5. Step 5: Solve for x
    x = 958,009.23/1,517.02
  6. Step 6: Final answer
    x = 631.51

Related Problems

Find fourth proportional to 758.51, 1,137.54 and 210.55
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.