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Finding the Fourth Proportional to 950.86, 1,425.32 and 642.75

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Solution

The fourth proportional to 950.86, 1,425.32 and 642.75 is: 963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.86 : 1,425.32 = 642.75 : x
  2. Step 2: Convert to fraction form
    950.86/1,425.32 = 642.75/x
  3. Step 3: Cross multiply
    950.86x = 1,425.32 × 642.75
  4. Step 4: Simplify right side
    950.86x = 916,118.91
  5. Step 5: Solve for x
    x = 916,118.91/950.86
  6. Step 6: Final answer
    x = 963.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.