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Finding the Fourth Proportional to 625.42, 862.80 and 467.77

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Solution

The fourth proportional to 625.42, 862.80 and 467.77 is: 645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.42 : 862.80 = 467.77 : x
  2. Step 2: Convert to fraction form
    625.42/862.80 = 467.77/x
  3. Step 3: Cross multiply
    625.42x = 862.80 × 467.77
  4. Step 4: Simplify right side
    625.42x = 403,591.96
  5. Step 5: Solve for x
    x = 403,591.96/625.42
  6. Step 6: Final answer
    x = 645.31

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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.