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Finding the Fourth Proportional to 476.53, 710.31 and 424.19

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Solution

The fourth proportional to 476.53, 710.31 and 424.19 is: 632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.53 : 710.31 = 424.19 : x
  2. Step 2: Convert to fraction form
    476.53/710.31 = 424.19/x
  3. Step 3: Cross multiply
    476.53x = 710.31 × 424.19
  4. Step 4: Simplify right side
    476.53x = 301,308.17
  5. Step 5: Solve for x
    x = 301,308.17/476.53
  6. Step 6: Final answer
    x = 632.30

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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.