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Finding the Fourth Proportional to 742.64, 1,112.34 and 598.46

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Solution

The fourth proportional to 742.64, 1,112.34 and 598.46 is: 896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.64 : 1,112.34 = 598.46 : x
  2. Step 2: Convert to fraction form
    742.64/1,112.34 = 598.46/x
  3. Step 3: Cross multiply
    742.64x = 1,112.34 × 598.46
  4. Step 4: Simplify right side
    742.64x = 665,691.00
  5. Step 5: Solve for x
    x = 665,691.00/742.64
  6. Step 6: Final answer
    x = 896.38

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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.