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Finding the Fourth Proportional to 949.24, 1,423.85 and 574.06

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Solution

The fourth proportional to 949.24, 1,423.85 and 574.06 is: 861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.24 : 1,423.85 = 574.06 : x
  2. Step 2: Convert to fraction form
    949.24/1,423.85 = 574.06/x
  3. Step 3: Cross multiply
    949.24x = 1,423.85 × 574.06
  4. Step 4: Simplify right side
    949.24x = 817,377.46
  5. Step 5: Solve for x
    x = 817,377.46/949.24
  6. Step 6: Final answer
    x = 861.09

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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.