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Finding the Fourth Proportional to 742.59, 1,113.89 and 436.58

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Solution

The fourth proportional to 742.59, 1,113.89 and 436.58 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.59 : 1,113.89 = 436.58 : x
  2. Step 2: Convert to fraction form
    742.59/1,113.89 = 436.58/x
  3. Step 3: Cross multiply
    742.59x = 1,113.89 × 436.58
  4. Step 4: Simplify right side
    742.59x = 486,294.34
  5. Step 5: Solve for x
    x = 486,294.34/742.59
  6. Step 6: Final answer
    x = 654.86

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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.