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Finding the Fourth Proportional to 2,417.65, 3,625.45 and 858.04

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Solution

The fourth proportional to 2,417.65, 3,625.45 and 858.04 is: 1,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.65 : 3,625.45 = 858.04 : x
  2. Step 2: Convert to fraction form
    2,417.65/3,625.45 = 858.04/x
  3. Step 3: Cross multiply
    2,417.65x = 3,625.45 × 858.04
  4. Step 4: Simplify right side
    2,417.65x = 3,110,789.10
  5. Step 5: Solve for x
    x = 3,110,789.10/2,417.65
  6. Step 6: Final answer
    x = 1,286.70

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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.