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Finding the Fourth Proportional to 871.95, 1,308.23 and 385.04

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Solution

The fourth proportional to 871.95, 1,308.23 and 385.04 is: 577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.95 : 1,308.23 = 385.04 : x
  2. Step 2: Convert to fraction form
    871.95/1,308.23 = 385.04/x
  3. Step 3: Cross multiply
    871.95x = 1,308.23 × 385.04
  4. Step 4: Simplify right side
    871.95x = 503,712.41
  5. Step 5: Solve for x
    x = 503,712.41/871.95
  6. Step 6: Final answer
    x = 577.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.