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Finding the Fourth Proportional to 689.50, 951.57 and 379.06

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Solution

The fourth proportional to 689.50, 951.57 and 379.06 is: 523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.50 : 951.57 = 379.06 : x
  2. Step 2: Convert to fraction form
    689.50/951.57 = 379.06/x
  3. Step 3: Cross multiply
    689.50x = 951.57 × 379.06
  4. Step 4: Simplify right side
    689.50x = 360,702.12
  5. Step 5: Solve for x
    x = 360,702.12/689.50
  6. Step 6: Final answer
    x = 523.14

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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.