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Finding the Fourth Proportional to 477.95, 711.20 and 476.33

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Solution

The fourth proportional to 477.95, 711.20 and 476.33 is: 708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.95 : 711.20 = 476.33 : x
  2. Step 2: Convert to fraction form
    477.95/711.20 = 476.33/x
  3. Step 3: Cross multiply
    477.95x = 711.20 × 476.33
  4. Step 4: Simplify right side
    477.95x = 338,759.96
  5. Step 5: Solve for x
    x = 338,759.96/477.95
  6. Step 6: Final answer
    x = 708.78

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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.