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Finding the Fourth Proportional to 712.13, 1,066.91 and 669.24

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Solution

The fourth proportional to 712.13, 1,066.91 and 669.24 is: 1,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,066.91 = 669.24 : x
  2. Step 2: Convert to fraction form
    712.13/1,066.91 = 669.24/x
  3. Step 3: Cross multiply
    712.13x = 1,066.91 × 669.24
  4. Step 4: Simplify right side
    712.13x = 714,022.35
  5. Step 5: Solve for x
    x = 714,022.35/712.13
  6. Step 6: Final answer
    x = 1,002.66

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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.