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Finding the Fourth Proportional to 851.30, 1,276.16 and 591.42

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Solution

The fourth proportional to 851.30, 1,276.16 and 591.42 is: 886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.30 : 1,276.16 = 591.42 : x
  2. Step 2: Convert to fraction form
    851.30/1,276.16 = 591.42/x
  3. Step 3: Cross multiply
    851.30x = 1,276.16 × 591.42
  4. Step 4: Simplify right side
    851.30x = 754,746.55
  5. Step 5: Solve for x
    x = 754,746.55/851.30
  6. Step 6: Final answer
    x = 886.58

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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.