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Finding the Fourth Proportional to 697.30, 1,040.65 and 669.04

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Solution

The fourth proportional to 697.30, 1,040.65 and 669.04 is: 998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.30 : 1,040.65 = 669.04 : x
  2. Step 2: Convert to fraction form
    697.30/1,040.65 = 669.04/x
  3. Step 3: Cross multiply
    697.30x = 1,040.65 × 669.04
  4. Step 4: Simplify right side
    697.30x = 696,236.48
  5. Step 5: Solve for x
    x = 696,236.48/697.30
  6. Step 6: Final answer
    x = 998.47

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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.