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Finding the Fourth Proportional to 1,074.42, 1,611.14 and 424.71

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Solution

The fourth proportional to 1,074.42, 1,611.14 and 424.71 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.42 : 1,611.14 = 424.71 : x
  2. Step 2: Convert to fraction form
    1,074.42/1,611.14 = 424.71/x
  3. Step 3: Cross multiply
    1,074.42x = 1,611.14 × 424.71
  4. Step 4: Simplify right side
    1,074.42x = 684,265.15
  5. Step 5: Solve for x
    x = 684,265.15/1,074.42
  6. Step 6: Final answer
    x = 636.87

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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.