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Finding the Fourth Proportional to 632.71, 873.90 and 487.09

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Solution

The fourth proportional to 632.71, 873.90 and 487.09 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.71 : 873.90 = 487.09 : x
  2. Step 2: Convert to fraction form
    632.71/873.90 = 487.09/x
  3. Step 3: Cross multiply
    632.71x = 873.90 × 487.09
  4. Step 4: Simplify right side
    632.71x = 425,667.95
  5. Step 5: Solve for x
    x = 425,667.95/632.71
  6. Step 6: Final answer
    x = 672.77

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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.