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Finding the Fourth Proportional to 592.76, 817.85 and 371.72

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Solution

The fourth proportional to 592.76, 817.85 and 371.72 is: 512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 817.85 = 371.72 : x
  2. Step 2: Convert to fraction form
    592.76/817.85 = 371.72/x
  3. Step 3: Cross multiply
    592.76x = 817.85 × 371.72
  4. Step 4: Simplify right side
    592.76x = 304,005.25
  5. Step 5: Solve for x
    x = 304,005.25/592.76
  6. Step 6: Final answer
    x = 512.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.