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Finding the Fourth Proportional to 688.78, 950.28 and 467.38

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Solution

The fourth proportional to 688.78, 950.28 and 467.38 is: 644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.78 : 950.28 = 467.38 : x
  2. Step 2: Convert to fraction form
    688.78/950.28 = 467.38/x
  3. Step 3: Cross multiply
    688.78x = 950.28 × 467.38
  4. Step 4: Simplify right side
    688.78x = 444,141.87
  5. Step 5: Solve for x
    x = 444,141.87/688.78
  6. Step 6: Final answer
    x = 644.82

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1.5x scale

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.