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Finding the Fourth Proportional to 951.74, 1,427.61 and 404.08

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Solution

The fourth proportional to 951.74, 1,427.61 and 404.08 is: 606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.74 : 1,427.61 = 404.08 : x
  2. Step 2: Convert to fraction form
    951.74/1,427.61 = 404.08/x
  3. Step 3: Cross multiply
    951.74x = 1,427.61 × 404.08
  4. Step 4: Simplify right side
    951.74x = 576,868.65
  5. Step 5: Solve for x
    x = 576,868.65/951.74
  6. Step 6: Final answer
    x = 606.12

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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.