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Finding the Fourth Proportional to 742.66, 1,113.99 and 596.86

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Solution

The fourth proportional to 742.66, 1,113.99 and 596.86 is: 895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.66 : 1,113.99 = 596.86 : x
  2. Step 2: Convert to fraction form
    742.66/1,113.99 = 596.86/x
  3. Step 3: Cross multiply
    742.66x = 1,113.99 × 596.86
  4. Step 4: Simplify right side
    742.66x = 664,896.07
  5. Step 5: Solve for x
    x = 664,896.07/742.66
  6. Step 6: Final answer
    x = 895.29

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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.