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Finding the Fourth Proportional to 477.14, 715.72 and 456.08

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Solution

The fourth proportional to 477.14, 715.72 and 456.08 is: 684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 715.72 = 456.08 : x
  2. Step 2: Convert to fraction form
    477.14/715.72 = 456.08/x
  3. Step 3: Cross multiply
    477.14x = 715.72 × 456.08
  4. Step 4: Simplify right side
    477.14x = 326,425.58
  5. Step 5: Solve for x
    x = 326,425.58/477.14
  6. Step 6: Final answer
    x = 684.13

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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.