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Finding the Fourth Proportional to 637.80, 879.78 and 462.84

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Solution

The fourth proportional to 637.80, 879.78 and 462.84 is: 638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.80 : 879.78 = 462.84 : x
  2. Step 2: Convert to fraction form
    637.80/879.78 = 462.84/x
  3. Step 3: Cross multiply
    637.80x = 879.78 × 462.84
  4. Step 4: Simplify right side
    637.80x = 407,197.38
  5. Step 5: Solve for x
    x = 407,197.38/637.80
  6. Step 6: Final answer
    x = 638.44

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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.