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Finding the Fourth Proportional to 1,402.97, 2,104.54 and 824.63

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Solution

The fourth proportional to 1,402.97, 2,104.54 and 824.63 is: 1,236.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.97 : 2,104.54 = 824.63 : x
  2. Step 2: Convert to fraction form
    1,402.97/2,104.54 = 824.63/x
  3. Step 3: Cross multiply
    1,402.97x = 2,104.54 × 824.63
  4. Step 4: Simplify right side
    1,402.97x = 1,735,454.24
  5. Step 5: Solve for x
    x = 1,735,454.24/1,402.97
  6. Step 6: Final answer
    x = 1,236.99

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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.