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Finding the Fourth Proportional to 1,176.85, 1,624.13 and 679.53

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Solution

The fourth proportional to 1,176.85, 1,624.13 and 679.53 is: 937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.85 : 1,624.13 = 679.53 : x
  2. Step 2: Convert to fraction form
    1,176.85/1,624.13 = 679.53/x
  3. Step 3: Cross multiply
    1,176.85x = 1,624.13 × 679.53
  4. Step 4: Simplify right side
    1,176.85x = 1,103,645.06
  5. Step 5: Solve for x
    x = 1,103,645.06/1,176.85
  6. Step 6: Final answer
    x = 937.80

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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.