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Finding the Fourth Proportional to 754.64, 1,132.10 and 292.32

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Solution

The fourth proportional to 754.64, 1,132.10 and 292.32 is: 438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.64 : 1,132.10 = 292.32 : x
  2. Step 2: Convert to fraction form
    754.64/1,132.10 = 292.32/x
  3. Step 3: Cross multiply
    754.64x = 1,132.10 × 292.32
  4. Step 4: Simplify right side
    754.64x = 330,934.01
  5. Step 5: Solve for x
    x = 330,934.01/754.64
  6. Step 6: Final answer
    x = 438.54

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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.