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Finding the Fourth Proportional to 1,017.26, 1,525.90 and 440.14

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Solution

The fourth proportional to 1,017.26, 1,525.90 and 440.14 is: 660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.26 : 1,525.90 = 440.14 : x
  2. Step 2: Convert to fraction form
    1,017.26/1,525.90 = 440.14/x
  3. Step 3: Cross multiply
    1,017.26x = 1,525.90 × 440.14
  4. Step 4: Simplify right side
    1,017.26x = 671,609.63
  5. Step 5: Solve for x
    x = 671,609.63/1,017.26
  6. Step 6: Final answer
    x = 660.21

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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.