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Finding the Fourth Proportional to 2,417.29, 3,625.80 and 662.17

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Solution

The fourth proportional to 2,417.29, 3,625.80 and 662.17 is: 993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.29 : 3,625.80 = 662.17 : x
  2. Step 2: Convert to fraction form
    2,417.29/3,625.80 = 662.17/x
  3. Step 3: Cross multiply
    2,417.29x = 3,625.80 × 662.17
  4. Step 4: Simplify right side
    2,417.29x = 2,400,874.55
  5. Step 5: Solve for x
    x = 2,400,874.55/2,417.29
  6. Step 6: Final answer
    x = 993.21

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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.