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Finding the Fourth Proportional to 929.78, 1,393.61 and 519.11

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Solution

The fourth proportional to 929.78, 1,393.61 and 519.11 is: 778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.78 : 1,393.61 = 519.11 : x
  2. Step 2: Convert to fraction form
    929.78/1,393.61 = 519.11/x
  3. Step 3: Cross multiply
    929.78x = 1,393.61 × 519.11
  4. Step 4: Simplify right side
    929.78x = 723,432.55
  5. Step 5: Solve for x
    x = 723,432.55/929.78
  6. Step 6: Final answer
    x = 778.07

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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.