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Finding the Fourth Proportional to 625.90, 862.77 and 494.68

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Solution

The fourth proportional to 625.90, 862.77 and 494.68 is: 681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.90 : 862.77 = 494.68 : x
  2. Step 2: Convert to fraction form
    625.90/862.77 = 494.68/x
  3. Step 3: Cross multiply
    625.90x = 862.77 × 494.68
  4. Step 4: Simplify right side
    625.90x = 426,795.06
  5. Step 5: Solve for x
    x = 426,795.06/625.90
  6. Step 6: Final answer
    x = 681.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.