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Finding the Fourth Proportional to 625.18, 862.70 and 345.42

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Solution

The fourth proportional to 625.18, 862.70 and 345.42 is: 476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.18 : 862.70 = 345.42 : x
  2. Step 2: Convert to fraction form
    625.18/862.70 = 345.42/x
  3. Step 3: Cross multiply
    625.18x = 862.70 × 345.42
  4. Step 4: Simplify right side
    625.18x = 297,993.83
  5. Step 5: Solve for x
    x = 297,993.83/625.18
  6. Step 6: Final answer
    x = 476.65

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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.