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Finding the Fourth Proportional to 477.42, 712.46 and 474.68

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Solution

The fourth proportional to 477.42, 712.46 and 474.68 is: 708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.42 : 712.46 = 474.68 : x
  2. Step 2: Convert to fraction form
    477.42/712.46 = 474.68/x
  3. Step 3: Cross multiply
    477.42x = 712.46 × 474.68
  4. Step 4: Simplify right side
    477.42x = 338,191.11
  5. Step 5: Solve for x
    x = 338,191.11/477.42
  6. Step 6: Final answer
    x = 708.38

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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.