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Finding the Fourth Proportional to 689.78, 951.90 and 375.05

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Solution

The fourth proportional to 689.78, 951.90 and 375.05 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.78 : 951.90 = 375.05 : x
  2. Step 2: Convert to fraction form
    689.78/951.90 = 375.05/x
  3. Step 3: Cross multiply
    689.78x = 951.90 × 375.05
  4. Step 4: Simplify right side
    689.78x = 357,008.91
  5. Step 5: Solve for x
    x = 357,008.91/689.78
  6. Step 6: Final answer
    x = 517.57

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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.