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Finding the Fourth Proportional to 1,043.20, 1,561.14 and 824.50

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Solution

The fourth proportional to 1,043.20, 1,561.14 and 824.50 is: 1,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.20 : 1,561.14 = 824.50 : x
  2. Step 2: Convert to fraction form
    1,043.20/1,561.14 = 824.50/x
  3. Step 3: Cross multiply
    1,043.20x = 1,561.14 × 824.50
  4. Step 4: Simplify right side
    1,043.20x = 1,287,159.93
  5. Step 5: Solve for x
    x = 1,287,159.93/1,043.20
  6. Step 6: Final answer
    x = 1,233.86

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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.