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Finding the Fourth Proportional to 739.72, 1,019.38 and 532.36

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Solution

The fourth proportional to 739.72, 1,019.38 and 532.36 is: 733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.72 : 1,019.38 = 532.36 : x
  2. Step 2: Convert to fraction form
    739.72/1,019.38 = 532.36/x
  3. Step 3: Cross multiply
    739.72x = 1,019.38 × 532.36
  4. Step 4: Simplify right side
    739.72x = 542,677.14
  5. Step 5: Solve for x
    x = 542,677.14/739.72
  6. Step 6: Final answer
    x = 733.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.