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Finding the Fourth Proportional to 742.35, 1,111.30 and 724.67

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Solution

The fourth proportional to 742.35, 1,111.30 and 724.67 is: 1,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.35 : 1,111.30 = 724.67 : x
  2. Step 2: Convert to fraction form
    742.35/1,111.30 = 724.67/x
  3. Step 3: Cross multiply
    742.35x = 1,111.30 × 724.67
  4. Step 4: Simplify right side
    742.35x = 805,325.77
  5. Step 5: Solve for x
    x = 805,325.77/742.35
  6. Step 6: Final answer
    x = 1,084.83

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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.