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Finding the Fourth Proportional to 625.40, 862.98 and 345.62

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Solution

The fourth proportional to 625.40, 862.98 and 345.62 is: 476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.40 : 862.98 = 345.62 : x
  2. Step 2: Convert to fraction form
    625.40/862.98 = 345.62/x
  3. Step 3: Cross multiply
    625.40x = 862.98 × 345.62
  4. Step 4: Simplify right side
    625.40x = 298,260.13
  5. Step 5: Solve for x
    x = 298,260.13/625.40
  6. Step 6: Final answer
    x = 476.91

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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.