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Finding the Fourth Proportional to 742.56, 1,114.32 and 435.04

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Solution

The fourth proportional to 742.56, 1,114.32 and 435.04 is: 652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,114.32 = 435.04 : x
  2. Step 2: Convert to fraction form
    742.56/1,114.32 = 435.04/x
  3. Step 3: Cross multiply
    742.56x = 1,114.32 × 435.04
  4. Step 4: Simplify right side
    742.56x = 484,773.77
  5. Step 5: Solve for x
    x = 484,773.77/742.56
  6. Step 6: Final answer
    x = 652.84

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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.