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Finding the Fourth Proportional to 1,177.64, 1,624.92 and 680.12

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Solution

The fourth proportional to 1,177.64, 1,624.92 and 680.12 is: 938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.64 : 1,624.92 = 680.12 : x
  2. Step 2: Convert to fraction form
    1,177.64/1,624.92 = 680.12/x
  3. Step 3: Cross multiply
    1,177.64x = 1,624.92 × 680.12
  4. Step 4: Simplify right side
    1,177.64x = 1,105,140.59
  5. Step 5: Solve for x
    x = 1,105,140.59/1,177.64
  6. Step 6: Final answer
    x = 938.44

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1.5x scale

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.