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Finding the Fourth Proportional to 924.62, 1,385.72 and 826.54

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Solution

The fourth proportional to 924.62, 1,385.72 and 826.54 is: 1,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.62 : 1,385.72 = 826.54 : x
  2. Step 2: Convert to fraction form
    924.62/1,385.72 = 826.54/x
  3. Step 3: Cross multiply
    924.62x = 1,385.72 × 826.54
  4. Step 4: Simplify right side
    924.62x = 1,145,353.01
  5. Step 5: Solve for x
    x = 1,145,353.01/924.62
  6. Step 6: Final answer
    x = 1,238.73

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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.