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Finding the Fourth Proportional to 950.62, 1,425.50 and 402.50

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Solution

The fourth proportional to 950.62, 1,425.50 and 402.50 is: 603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.62 : 1,425.50 = 402.50 : x
  2. Step 2: Convert to fraction form
    950.62/1,425.50 = 402.50/x
  3. Step 3: Cross multiply
    950.62x = 1,425.50 × 402.50
  4. Step 4: Simplify right side
    950.62x = 573,763.75
  5. Step 5: Solve for x
    x = 573,763.75/950.62
  6. Step 6: Final answer
    x = 603.57

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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.