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Finding the Fourth Proportional to 739.04, 1,108.76 and 354.24

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Solution

The fourth proportional to 739.04, 1,108.76 and 354.24 is: 531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.04 : 1,108.76 = 354.24 : x
  2. Step 2: Convert to fraction form
    739.04/1,108.76 = 354.24/x
  3. Step 3: Cross multiply
    739.04x = 1,108.76 × 354.24
  4. Step 4: Simplify right side
    739.04x = 392,767.14
  5. Step 5: Solve for x
    x = 392,767.14/739.04
  6. Step 6: Final answer
    x = 531.46

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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.