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Finding the Fourth Proportional to 1,454.17, 2,006.62 and 824.53

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Solution

The fourth proportional to 1,454.17, 2,006.62 and 824.53 is: 1,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.17 : 2,006.62 = 824.53 : x
  2. Step 2: Convert to fraction form
    1,454.17/2,006.62 = 824.53/x
  3. Step 3: Cross multiply
    1,454.17x = 2,006.62 × 824.53
  4. Step 4: Simplify right side
    1,454.17x = 1,654,518.39
  5. Step 5: Solve for x
    x = 1,654,518.39/1,454.17
  6. Step 6: Final answer
    x = 1,137.78

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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.