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Finding the Fourth Proportional to 625, 862.50 and 470.20

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Solution

The fourth proportional to 625, 862.50 and 470.20 is: 648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    625 : 862.50 = 470.20 : x
  2. Step 2: Convert to fraction form
    625/862.50 = 470.20/x
  3. Step 3: Cross multiply
    625x = 862.50 × 470.20
  4. Step 4: Simplify right side
    625x = 405,547.50
  5. Step 5: Solve for x
    x = 405,547.50/625
  6. Step 6: Final answer
    x = 648.88

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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.