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Finding the Fourth Proportional to 519.32, 715.97 and 371.70

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Solution

The fourth proportional to 519.32, 715.97 and 371.70 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.32 : 715.97 = 371.70 : x
  2. Step 2: Convert to fraction form
    519.32/715.97 = 371.70/x
  3. Step 3: Cross multiply
    519.32x = 715.97 × 371.70
  4. Step 4: Simplify right side
    519.32x = 266,126.98
  5. Step 5: Solve for x
    x = 266,126.98/519.32
  6. Step 6: Final answer
    x = 512.45

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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.