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Finding the Fourth Proportional to 929.95, 1,393.80 and 519.37

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Solution

The fourth proportional to 929.95, 1,393.80 and 519.37 is: 778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.95 : 1,393.80 = 519.37 : x
  2. Step 2: Convert to fraction form
    929.95/1,393.80 = 519.37/x
  3. Step 3: Cross multiply
    929.95x = 1,393.80 × 519.37
  4. Step 4: Simplify right side
    929.95x = 723,897.91
  5. Step 5: Solve for x
    x = 723,897.91/929.95
  6. Step 6: Final answer
    x = 778.43

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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.