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Finding the Fourth Proportional to 728.63, 1,087.02 and 669.16

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Solution

The fourth proportional to 728.63, 1,087.02 and 669.16 is: 998.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.63 : 1,087.02 = 669.16 : x
  2. Step 2: Convert to fraction form
    728.63/1,087.02 = 669.16/x
  3. Step 3: Cross multiply
    728.63x = 1,087.02 × 669.16
  4. Step 4: Simplify right side
    728.63x = 727,391.66
  5. Step 5: Solve for x
    x = 727,391.66/728.63
  6. Step 6: Final answer
    x = 998.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.