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Finding the Fourth Proportional to 747.36, 1,118.82 and 421.74

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Solution

The fourth proportional to 747.36, 1,118.82 and 421.74 is: 631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.36 : 1,118.82 = 421.74 : x
  2. Step 2: Convert to fraction form
    747.36/1,118.82 = 421.74/x
  3. Step 3: Cross multiply
    747.36x = 1,118.82 × 421.74
  4. Step 4: Simplify right side
    747.36x = 471,851.15
  5. Step 5: Solve for x
    x = 471,851.15/747.36
  6. Step 6: Final answer
    x = 631.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.