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Finding the Fourth Proportional to 1,200.66, 1,656.77 and 669.42

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Solution

The fourth proportional to 1,200.66, 1,656.77 and 669.42 is: 923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.66 : 1,656.77 = 669.42 : x
  2. Step 2: Convert to fraction form
    1,200.66/1,656.77 = 669.42/x
  3. Step 3: Cross multiply
    1,200.66x = 1,656.77 × 669.42
  4. Step 4: Simplify right side
    1,200.66x = 1,109,082.86
  5. Step 5: Solve for x
    x = 1,109,082.86/1,200.66
  6. Step 6: Final answer
    x = 923.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.