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Finding the Fourth Proportional to 778.08, 1,165.11 and 503.79

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Solution

The fourth proportional to 778.08, 1,165.11 and 503.79 is: 754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.08 : 1,165.11 = 503.79 : x
  2. Step 2: Convert to fraction form
    778.08/1,165.11 = 503.79/x
  3. Step 3: Cross multiply
    778.08x = 1,165.11 × 503.79
  4. Step 4: Simplify right side
    778.08x = 586,970.77
  5. Step 5: Solve for x
    x = 586,970.77/778.08
  6. Step 6: Final answer
    x = 754.38

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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.