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Finding the Fourth Proportional to 877.12, 1,209.60 and 669.76

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Solution

The fourth proportional to 877.12, 1,209.60 and 669.76 is: 923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.12 : 1,209.60 = 669.76 : x
  2. Step 2: Convert to fraction form
    877.12/1,209.60 = 669.76/x
  3. Step 3: Cross multiply
    877.12x = 1,209.60 × 669.76
  4. Step 4: Simplify right side
    877.12x = 810,141.70
  5. Step 5: Solve for x
    x = 810,141.70/877.12
  6. Step 6: Final answer
    x = 923.64

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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.