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Finding the Fourth Proportional to 728.78, 1,006.07 and 571.05

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Solution

The fourth proportional to 728.78, 1,006.07 and 571.05 is: 788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.78 : 1,006.07 = 571.05 : x
  2. Step 2: Convert to fraction form
    728.78/1,006.07 = 571.05/x
  3. Step 3: Cross multiply
    728.78x = 1,006.07 × 571.05
  4. Step 4: Simplify right side
    728.78x = 574,513.42
  5. Step 5: Solve for x
    x = 574,513.42/728.78
  6. Step 6: Final answer
    x = 788.33

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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.