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Finding the Fourth Proportional to 894.24, 1,229.58 and 763.02

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Solution

The fourth proportional to 894.24, 1,229.58 and 763.02 is: 1,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.24 : 1,229.58 = 763.02 : x
  2. Step 2: Convert to fraction form
    894.24/1,229.58 = 763.02/x
  3. Step 3: Cross multiply
    894.24x = 1,229.58 × 763.02
  4. Step 4: Simplify right side
    894.24x = 938,194.13
  5. Step 5: Solve for x
    x = 938,194.13/894.24
  6. Step 6: Final answer
    x = 1,049.15

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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.