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Finding the Fourth Proportional to 1,397.61, 2,096.60 and 423.77

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Solution

The fourth proportional to 1,397.61, 2,096.60 and 423.77 is: 635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.61 : 2,096.60 = 423.77 : x
  2. Step 2: Convert to fraction form
    1,397.61/2,096.60 = 423.77/x
  3. Step 3: Cross multiply
    1,397.61x = 2,096.60 × 423.77
  4. Step 4: Simplify right side
    1,397.61x = 888,463.58
  5. Step 5: Solve for x
    x = 888,463.58/1,397.61
  6. Step 6: Final answer
    x = 635.70

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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.