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Finding the Fourth Proportional to 689.75, 952 and 468.78

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Solution

The fourth proportional to 689.75, 952 and 468.78 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.75 : 952 = 468.78 : x
  2. Step 2: Convert to fraction form
    689.75/952 = 468.78/x
  3. Step 3: Cross multiply
    689.75x = 952 × 468.78
  4. Step 4: Simplify right side
    689.75x = 446,278.56
  5. Step 5: Solve for x
    x = 446,278.56/689.75
  6. Step 6: Final answer
    x = 647.02

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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.