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Finding the Fourth Proportional to 871.55, 1,308.81 and 482.34

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Solution

The fourth proportional to 871.55, 1,308.81 and 482.34 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.55 : 1,308.81 = 482.34 : x
  2. Step 2: Convert to fraction form
    871.55/1,308.81 = 482.34/x
  3. Step 3: Cross multiply
    871.55x = 1,308.81 × 482.34
  4. Step 4: Simplify right side
    871.55x = 631,291.42
  5. Step 5: Solve for x
    x = 631,291.42/871.55
  6. Step 6: Final answer
    x = 724.34

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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.