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Finding the Fourth Proportional to 1,177.58, 1,625.20 and 680.36

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Solution

The fourth proportional to 1,177.58, 1,625.20 and 680.36 is: 938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.58 : 1,625.20 = 680.36 : x
  2. Step 2: Convert to fraction form
    1,177.58/1,625.20 = 680.36/x
  3. Step 3: Cross multiply
    1,177.58x = 1,625.20 × 680.36
  4. Step 4: Simplify right side
    1,177.58x = 1,105,711.25
  5. Step 5: Solve for x
    x = 1,105,711.25/1,177.58
  6. Step 6: Final answer
    x = 938.97

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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.