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Finding the Fourth Proportional to 1,724.93, 2,587.94 and 737.70

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Solution

The fourth proportional to 1,724.93, 2,587.94 and 737.70 is: 1,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.93 : 2,587.94 = 737.70 : x
  2. Step 2: Convert to fraction form
    1,724.93/2,587.94 = 737.70/x
  3. Step 3: Cross multiply
    1,724.93x = 2,587.94 × 737.70
  4. Step 4: Simplify right side
    1,724.93x = 1,909,123.34
  5. Step 5: Solve for x
    x = 1,909,123.34/1,724.93
  6. Step 6: Final answer
    x = 1,106.78

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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.