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Finding the Fourth Proportional to 778.56, 1,074.92 and 498.91

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Solution

The fourth proportional to 778.56, 1,074.92 and 498.91 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.56 : 1,074.92 = 498.91 : x
  2. Step 2: Convert to fraction form
    778.56/1,074.92 = 498.91/x
  3. Step 3: Cross multiply
    778.56x = 1,074.92 × 498.91
  4. Step 4: Simplify right side
    778.56x = 536,287.98
  5. Step 5: Solve for x
    x = 536,287.98/778.56
  6. Step 6: Final answer
    x = 688.82

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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.