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Finding the Fourth Proportional to 647.47, 971.21 and 282.25

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Solution

The fourth proportional to 647.47, 971.21 and 282.25 is: 423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.47 : 971.21 = 282.25 : x
  2. Step 2: Convert to fraction form
    647.47/971.21 = 282.25/x
  3. Step 3: Cross multiply
    647.47x = 971.21 × 282.25
  4. Step 4: Simplify right side
    647.47x = 274,124.02
  5. Step 5: Solve for x
    x = 274,124.02/647.47
  6. Step 6: Final answer
    x = 423.38

Related Problems

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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.