Home / 1,177.43-1,766.30-397.65

Finding the Fourth Proportional to 1,177.43, 1,766.30 and 397.65

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Solution

The fourth proportional to 1,177.43, 1,766.30 and 397.65 is: 596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.43 : 1,766.30 = 397.65 : x
  2. Step 2: Convert to fraction form
    1,177.43/1,766.30 = 397.65/x
  3. Step 3: Cross multiply
    1,177.43x = 1,766.30 × 397.65
  4. Step 4: Simplify right side
    1,177.43x = 702,369.20
  5. Step 5: Solve for x
    x = 702,369.20/1,177.43
  6. Step 6: Final answer
    x = 596.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.