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Finding the Fourth Proportional to 472.76, 709.25 and 143.71

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Solution

The fourth proportional to 472.76, 709.25 and 143.71 is: 215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.76 : 709.25 = 143.71 : x
  2. Step 2: Convert to fraction form
    472.76/709.25 = 143.71/x
  3. Step 3: Cross multiply
    472.76x = 709.25 × 143.71
  4. Step 4: Simplify right side
    472.76x = 101,926.49
  5. Step 5: Solve for x
    x = 101,926.49/472.76
  6. Step 6: Final answer
    x = 215.60

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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.