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Finding the Fourth Proportional to 739.72, 1,107.12 and 496.16

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Solution

The fourth proportional to 739.72, 1,107.12 and 496.16 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.72 : 1,107.12 = 496.16 : x
  2. Step 2: Convert to fraction form
    739.72/1,107.12 = 496.16/x
  3. Step 3: Cross multiply
    739.72x = 1,107.12 × 496.16
  4. Step 4: Simplify right side
    739.72x = 549,308.66
  5. Step 5: Solve for x
    x = 549,308.66/739.72
  6. Step 6: Final answer
    x = 742.59

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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.