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Finding the Fourth Proportional to 477.32, 712.89 and 474.22

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Solution

The fourth proportional to 477.32, 712.89 and 474.22 is: 708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.32 : 712.89 = 474.22 : x
  2. Step 2: Convert to fraction form
    477.32/712.89 = 474.22/x
  3. Step 3: Cross multiply
    477.32x = 712.89 × 474.22
  4. Step 4: Simplify right side
    477.32x = 338,066.70
  5. Step 5: Solve for x
    x = 338,066.70/477.32
  6. Step 6: Final answer
    x = 708.26

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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.