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Finding the Fourth Proportional to 728.89, 1,006.68 and 565.08

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Solution

The fourth proportional to 728.89, 1,006.68 and 565.08 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.89 : 1,006.68 = 565.08 : x
  2. Step 2: Convert to fraction form
    728.89/1,006.68 = 565.08/x
  3. Step 3: Cross multiply
    728.89x = 1,006.68 × 565.08
  4. Step 4: Simplify right side
    728.89x = 568,846.88
  5. Step 5: Solve for x
    x = 568,846.88/728.89
  6. Step 6: Final answer
    x = 780.43

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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.