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Finding the Fourth Proportional to 871.85, 1,308.40 and 543.27

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Solution

The fourth proportional to 871.85, 1,308.40 and 543.27 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.85 : 1,308.40 = 543.27 : x
  2. Step 2: Convert to fraction form
    871.85/1,308.40 = 543.27/x
  3. Step 3: Cross multiply
    871.85x = 1,308.40 × 543.27
  4. Step 4: Simplify right side
    871.85x = 710,821.07
  5. Step 5: Solve for x
    x = 710,821.07/871.85
  6. Step 6: Final answer
    x = 815.30

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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.