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Finding the Fourth Proportional to 728.52, 1,003.86 and 561.72

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Solution

The fourth proportional to 728.52, 1,003.86 and 561.72 is: 774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.52 : 1,003.86 = 561.72 : x
  2. Step 2: Convert to fraction form
    728.52/1,003.86 = 561.72/x
  3. Step 3: Cross multiply
    728.52x = 1,003.86 × 561.72
  4. Step 4: Simplify right side
    728.52x = 563,888.24
  5. Step 5: Solve for x
    x = 563,888.24/728.52
  6. Step 6: Final answer
    x = 774.02

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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.