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Finding the Fourth Proportional to 950.70, 1,426.32 and 365.88

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Solution

The fourth proportional to 950.70, 1,426.32 and 365.88 is: 548.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,426.32 = 365.88 : x
  2. Step 2: Convert to fraction form
    950.70/1,426.32 = 365.88/x
  3. Step 3: Cross multiply
    950.70x = 1,426.32 × 365.88
  4. Step 4: Simplify right side
    950.70x = 521,861.96
  5. Step 5: Solve for x
    x = 521,861.96/950.70
  6. Step 6: Final answer
    x = 548.92

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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.