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Finding the Fourth Proportional to 747.67, 1,030.86 and 481.66

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Solution

The fourth proportional to 747.67, 1,030.86 and 481.66 is: 664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.67 : 1,030.86 = 481.66 : x
  2. Step 2: Convert to fraction form
    747.67/1,030.86 = 481.66/x
  3. Step 3: Cross multiply
    747.67x = 1,030.86 × 481.66
  4. Step 4: Simplify right side
    747.67x = 496,524.03
  5. Step 5: Solve for x
    x = 496,524.03/747.67
  6. Step 6: Final answer
    x = 664.10

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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.