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Finding the Fourth Proportional to 734.57, 1,102.82 and 492.18

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Solution

The fourth proportional to 734.57, 1,102.82 and 492.18 is: 738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.57 : 1,102.82 = 492.18 : x
  2. Step 2: Convert to fraction form
    734.57/1,102.82 = 492.18/x
  3. Step 3: Cross multiply
    734.57x = 1,102.82 × 492.18
  4. Step 4: Simplify right side
    734.57x = 542,779.35
  5. Step 5: Solve for x
    x = 542,779.35/734.57
  6. Step 6: Final answer
    x = 738.91

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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.