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Finding the Fourth Proportional to 2,406.65, 3,610.65 and 763.16

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Solution

The fourth proportional to 2,406.65, 3,610.65 and 763.16 is: 1,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.65 : 3,610.65 = 763.16 : x
  2. Step 2: Convert to fraction form
    2,406.65/3,610.65 = 763.16/x
  3. Step 3: Cross multiply
    2,406.65x = 3,610.65 × 763.16
  4. Step 4: Simplify right side
    2,406.65x = 2,755,503.65
  5. Step 5: Solve for x
    x = 2,755,503.65/2,406.65
  6. Step 6: Final answer
    x = 1,144.95

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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.