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Finding the Fourth Proportional to 747.02, 1,024.88 and 727.86

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Solution

The fourth proportional to 747.02, 1,024.88 and 727.86 is: 998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.02 : 1,024.88 = 727.86 : x
  2. Step 2: Convert to fraction form
    747.02/1,024.88 = 727.86/x
  3. Step 3: Cross multiply
    747.02x = 1,024.88 × 727.86
  4. Step 4: Simplify right side
    747.02x = 745,969.16
  5. Step 5: Solve for x
    x = 745,969.16/747.02
  6. Step 6: Final answer
    x = 998.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.