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Finding the Fourth Proportional to 1,178.80, 1,626.84 and 655

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Solution

The fourth proportional to 1,178.80, 1,626.84 and 655 is: 903.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.80 : 1,626.84 = 655 : x
  2. Step 2: Convert to fraction form
    1,178.80/1,626.84 = 655/x
  3. Step 3: Cross multiply
    1,178.80x = 1,626.84 × 655
  4. Step 4: Simplify right side
    1,178.80x = 1,065,580.20
  5. Step 5: Solve for x
    x = 1,065,580.20/1,178.80
  6. Step 6: Final answer
    x = 903.95

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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.