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Finding the Fourth Proportional to 778.01, 1,073.56 and 479.42

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Solution

The fourth proportional to 778.01, 1,073.56 and 479.42 is: 661.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.01 : 1,073.56 = 479.42 : x
  2. Step 2: Convert to fraction form
    778.01/1,073.56 = 479.42/x
  3. Step 3: Cross multiply
    778.01x = 1,073.56 × 479.42
  4. Step 4: Simplify right side
    778.01x = 514,679.57
  5. Step 5: Solve for x
    x = 514,679.57/778.01
  6. Step 6: Final answer
    x = 661.53

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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.