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Finding the Fourth Proportional to 476.25, 710.53 and 424.31

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Solution

The fourth proportional to 476.25, 710.53 and 424.31 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.25 : 710.53 = 424.31 : x
  2. Step 2: Convert to fraction form
    476.25/710.53 = 424.31/x
  3. Step 3: Cross multiply
    476.25x = 710.53 × 424.31
  4. Step 4: Simplify right side
    476.25x = 301,487.56
  5. Step 5: Solve for x
    x = 301,487.56/476.25
  6. Step 6: Final answer
    x = 633.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.