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Finding the Fourth Proportional to 1,534.42, 2,301.68 and 423.92

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Solution

The fourth proportional to 1,534.42, 2,301.68 and 423.92 is: 635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.42 : 2,301.68 = 423.92 : x
  2. Step 2: Convert to fraction form
    1,534.42/2,301.68 = 423.92/x
  3. Step 3: Cross multiply
    1,534.42x = 2,301.68 × 423.92
  4. Step 4: Simplify right side
    1,534.42x = 975,716.15
  5. Step 5: Solve for x
    x = 975,716.15/1,534.42
  6. Step 6: Final answer
    x = 635.89

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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.