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Finding the Fourth Proportional to 624.66, 862.12 and 425.78

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Solution

The fourth proportional to 624.66, 862.12 and 425.78 is: 587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.66 : 862.12 = 425.78 : x
  2. Step 2: Convert to fraction form
    624.66/862.12 = 425.78/x
  3. Step 3: Cross multiply
    624.66x = 862.12 × 425.78
  4. Step 4: Simplify right side
    624.66x = 367,074.14
  5. Step 5: Solve for x
    x = 367,074.14/624.66
  6. Step 6: Final answer
    x = 587.64

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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.