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Finding the Fourth Proportional to 477.12, 711.06 and 461.52

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Solution

The fourth proportional to 477.12, 711.06 and 461.52 is: 687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 711.06 = 461.52 : x
  2. Step 2: Convert to fraction form
    477.12/711.06 = 461.52/x
  3. Step 3: Cross multiply
    477.12x = 711.06 × 461.52
  4. Step 4: Simplify right side
    477.12x = 328,168.41
  5. Step 5: Solve for x
    x = 328,168.41/477.12
  6. Step 6: Final answer
    x = 687.81

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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.