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Finding the Fourth Proportional to 1,176.59, 1,763.66 and 765.92

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Solution

The fourth proportional to 1,176.59, 1,763.66 and 765.92 is: 1,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.59 : 1,763.66 = 765.92 : x
  2. Step 2: Convert to fraction form
    1,176.59/1,763.66 = 765.92/x
  3. Step 3: Cross multiply
    1,176.59x = 1,763.66 × 765.92
  4. Step 4: Simplify right side
    1,176.59x = 1,350,828.79
  5. Step 5: Solve for x
    x = 1,350,828.79/1,176.59
  6. Step 6: Final answer
    x = 1,148.09

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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.