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Finding the Fourth Proportional to 900.43, 1,348.85 and 824.29

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Solution

The fourth proportional to 900.43, 1,348.85 and 824.29 is: 1,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.43 : 1,348.85 = 824.29 : x
  2. Step 2: Convert to fraction form
    900.43/1,348.85 = 824.29/x
  3. Step 3: Cross multiply
    900.43x = 1,348.85 × 824.29
  4. Step 4: Simplify right side
    900.43x = 1,111,842.26
  5. Step 5: Solve for x
    x = 1,111,842.26/900.43
  6. Step 6: Final answer
    x = 1,234.79

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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.