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Finding the Fourth Proportional to 509.07, 763.91 and 371.78

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Solution

The fourth proportional to 509.07, 763.91 and 371.78 is: 557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 763.91 = 371.78 : x
  2. Step 2: Convert to fraction form
    509.07/763.91 = 371.78/x
  3. Step 3: Cross multiply
    509.07x = 763.91 × 371.78
  4. Step 4: Simplify right side
    509.07x = 284,006.46
  5. Step 5: Solve for x
    x = 284,006.46/509.07
  6. Step 6: Final answer
    x = 557.89

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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.