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Finding the Fourth Proportional to 689.48, 951.52 and 378.98

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Solution

The fourth proportional to 689.48, 951.52 and 378.98 is: 523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.48 : 951.52 = 378.98 : x
  2. Step 2: Convert to fraction form
    689.48/951.52 = 378.98/x
  3. Step 3: Cross multiply
    689.48x = 951.52 × 378.98
  4. Step 4: Simplify right side
    689.48x = 360,607.05
  5. Step 5: Solve for x
    x = 360,607.05/689.48
  6. Step 6: Final answer
    x = 523.01

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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.