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Finding the Fourth Proportional to 477.48, 716.80 and 315.30

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Solution

The fourth proportional to 477.48, 716.80 and 315.30 is: 473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 716.80 = 315.30 : x
  2. Step 2: Convert to fraction form
    477.48/716.80 = 315.30/x
  3. Step 3: Cross multiply
    477.48x = 716.80 × 315.30
  4. Step 4: Simplify right side
    477.48x = 226,007.04
  5. Step 5: Solve for x
    x = 226,007.04/477.48
  6. Step 6: Final answer
    x = 473.33

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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.