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Finding the Fourth Proportional to 477.54, 713.00 and 460.74

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Solution

The fourth proportional to 477.54, 713.00 and 460.74 is: 687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.54 : 713.00 = 460.74 : x
  2. Step 2: Convert to fraction form
    477.54/713.00 = 460.74/x
  3. Step 3: Cross multiply
    477.54x = 713.00 × 460.74
  4. Step 4: Simplify right side
    477.54x = 328,505.32
  5. Step 5: Solve for x
    x = 328,505.32/477.54
  6. Step 6: Final answer
    x = 687.91

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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.