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Finding the Fourth Proportional to 1,355.85, 2,031.33 and 662.07

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Solution

The fourth proportional to 1,355.85, 2,031.33 and 662.07 is: 991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.85 : 2,031.33 = 662.07 : x
  2. Step 2: Convert to fraction form
    1,355.85/2,031.33 = 662.07/x
  3. Step 3: Cross multiply
    1,355.85x = 2,031.33 × 662.07
  4. Step 4: Simplify right side
    1,355.85x = 1,344,882.65
  5. Step 5: Solve for x
    x = 1,344,882.65/1,355.85
  6. Step 6: Final answer
    x = 991.91

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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.