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Finding the Fourth Proportional to 950.65, 1,423.35 and 487.43

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Solution

The fourth proportional to 950.65, 1,423.35 and 487.43 is: 729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.65 : 1,423.35 = 487.43 : x
  2. Step 2: Convert to fraction form
    950.65/1,423.35 = 487.43/x
  3. Step 3: Cross multiply
    950.65x = 1,423.35 × 487.43
  4. Step 4: Simplify right side
    950.65x = 693,783.49
  5. Step 5: Solve for x
    x = 693,783.49/950.65
  6. Step 6: Final answer
    x = 729.80

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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.