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Finding the Fourth Proportional to 477.54, 711.52 and 456.57

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Solution

The fourth proportional to 477.54, 711.52 and 456.57 is: 680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.54 : 711.52 = 456.57 : x
  2. Step 2: Convert to fraction form
    477.54/711.52 = 456.57/x
  3. Step 3: Cross multiply
    477.54x = 711.52 × 456.57
  4. Step 4: Simplify right side
    477.54x = 324,857.54
  5. Step 5: Solve for x
    x = 324,857.54/477.54
  6. Step 6: Final answer
    x = 680.27

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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.