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Finding the Fourth Proportional to 739.74, 1,108.44 and 374.16

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Solution

The fourth proportional to 739.74, 1,108.44 and 374.16 is: 560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.74 : 1,108.44 = 374.16 : x
  2. Step 2: Convert to fraction form
    739.74/1,108.44 = 374.16/x
  3. Step 3: Cross multiply
    739.74x = 1,108.44 × 374.16
  4. Step 4: Simplify right side
    739.74x = 414,733.91
  5. Step 5: Solve for x
    x = 414,733.91/739.74
  6. Step 6: Final answer
    x = 560.65

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1.5x scale

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.