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Finding the Fourth Proportional to 625.42, 863.32 and 470.62

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Solution

The fourth proportional to 625.42, 863.32 and 470.62 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.42 : 863.32 = 470.62 : x
  2. Step 2: Convert to fraction form
    625.42/863.32 = 470.62/x
  3. Step 3: Cross multiply
    625.42x = 863.32 × 470.62
  4. Step 4: Simplify right side
    625.42x = 406,295.66
  5. Step 5: Solve for x
    x = 406,295.66/625.42
  6. Step 6: Final answer
    x = 649.64

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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.