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Finding the Fourth Proportional to 1,177.29, 1,767.15 and 744.75

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Solution

The fourth proportional to 1,177.29, 1,767.15 and 744.75 is: 1,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.29 : 1,767.15 = 744.75 : x
  2. Step 2: Convert to fraction form
    1,177.29/1,767.15 = 744.75/x
  3. Step 3: Cross multiply
    1,177.29x = 1,767.15 × 744.75
  4. Step 4: Simplify right side
    1,177.29x = 1,316,084.96
  5. Step 5: Solve for x
    x = 1,316,084.96/1,177.29
  6. Step 6: Final answer
    x = 1,117.89

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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.