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Finding the Fourth Proportional to 1,454.13, 2,006.65 and 824.63

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Solution

The fourth proportional to 1,454.13, 2,006.65 and 824.63 is: 1,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.13 : 2,006.65 = 824.63 : x
  2. Step 2: Convert to fraction form
    1,454.13/2,006.65 = 824.63/x
  3. Step 3: Cross multiply
    1,454.13x = 2,006.65 × 824.63
  4. Step 4: Simplify right side
    1,454.13x = 1,654,743.79
  5. Step 5: Solve for x
    x = 1,654,743.79/1,454.13
  6. Step 6: Final answer
    x = 1,137.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.