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Finding the Fourth Proportional to 778.18, 1,073.71 and 529.64

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Solution

The fourth proportional to 778.18, 1,073.71 and 529.64 is: 730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.18 : 1,073.71 = 529.64 : x
  2. Step 2: Convert to fraction form
    778.18/1,073.71 = 529.64/x
  3. Step 3: Cross multiply
    778.18x = 1,073.71 × 529.64
  4. Step 4: Simplify right side
    778.18x = 568,676.11
  5. Step 5: Solve for x
    x = 568,676.11/778.18
  6. Step 6: Final answer
    x = 730.78

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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.