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Finding the Fourth Proportional to 624.88, 862.14 and 467.74

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Solution

The fourth proportional to 624.88, 862.14 and 467.74 is: 645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.88 : 862.14 = 467.74 : x
  2. Step 2: Convert to fraction form
    624.88/862.14 = 467.74/x
  3. Step 3: Cross multiply
    624.88x = 862.14 × 467.74
  4. Step 4: Simplify right side
    624.88x = 403,257.36
  5. Step 5: Solve for x
    x = 403,257.36/624.88
  6. Step 6: Final answer
    x = 645.34

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1.5x scale

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.