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Finding the Fourth Proportional to 530.57, 730.54 and 471.45

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Solution

The fourth proportional to 530.57, 730.54 and 471.45 is: 649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.57 : 730.54 = 471.45 : x
  2. Step 2: Convert to fraction form
    530.57/730.54 = 471.45/x
  3. Step 3: Cross multiply
    530.57x = 730.54 × 471.45
  4. Step 4: Simplify right side
    530.57x = 344,411.90
  5. Step 5: Solve for x
    x = 344,411.90/530.57
  6. Step 6: Final answer
    x = 649.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.