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Finding the Fourth Proportional to 1,168.68, 1,753.02 and 438.87

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Solution

The fourth proportional to 1,168.68, 1,753.02 and 438.87 is: 658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.68 : 1,753.02 = 438.87 : x
  2. Step 2: Convert to fraction form
    1,168.68/1,753.02 = 438.87/x
  3. Step 3: Cross multiply
    1,168.68x = 1,753.02 × 438.87
  4. Step 4: Simplify right side
    1,168.68x = 769,347.89
  5. Step 5: Solve for x
    x = 769,347.89/1,168.68
  6. Step 6: Final answer
    x = 658.31

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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.