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Finding the Fourth Proportional to 472.16, 708.14 and 381.40

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Solution

The fourth proportional to 472.16, 708.14 and 381.40 is: 572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 708.14 = 381.40 : x
  2. Step 2: Convert to fraction form
    472.16/708.14 = 381.40/x
  3. Step 3: Cross multiply
    472.16x = 708.14 × 381.40
  4. Step 4: Simplify right side
    472.16x = 270,084.60
  5. Step 5: Solve for x
    x = 270,084.60/472.16
  6. Step 6: Final answer
    x = 572.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.