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Finding the Fourth Proportional to 871.23, 1,307.15 and 546.21

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Solution

The fourth proportional to 871.23, 1,307.15 and 546.21 is: 819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.23 : 1,307.15 = 546.21 : x
  2. Step 2: Convert to fraction form
    871.23/1,307.15 = 546.21/x
  3. Step 3: Cross multiply
    871.23x = 1,307.15 × 546.21
  4. Step 4: Simplify right side
    871.23x = 713,978.40
  5. Step 5: Solve for x
    x = 713,978.40/871.23
  6. Step 6: Final answer
    x = 819.51

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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.