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Finding the Fourth Proportional to 778.34, 1,073.82 and 498.74

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Solution

The fourth proportional to 778.34, 1,073.82 and 498.74 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.34 : 1,073.82 = 498.74 : x
  2. Step 2: Convert to fraction form
    778.34/1,073.82 = 498.74/x
  3. Step 3: Cross multiply
    778.34x = 1,073.82 × 498.74
  4. Step 4: Simplify right side
    778.34x = 535,551.62
  5. Step 5: Solve for x
    x = 535,551.62/778.34
  6. Step 6: Final answer
    x = 688.07

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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.