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Finding the Fourth Proportional to 749.31, 1,122.95 and 587.04

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Solution

The fourth proportional to 749.31, 1,122.95 and 587.04 is: 879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.31 : 1,122.95 = 587.04 : x
  2. Step 2: Convert to fraction form
    749.31/1,122.95 = 587.04/x
  3. Step 3: Cross multiply
    749.31x = 1,122.95 × 587.04
  4. Step 4: Simplify right side
    749.31x = 659,208.02
  5. Step 5: Solve for x
    x = 659,208.02/749.31
  6. Step 6: Final answer
    x = 879.76

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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.