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Finding the Fourth Proportional to 875.63, 1,311.17 and 849.66

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Solution

The fourth proportional to 875.63, 1,311.17 and 849.66 is: 1,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.63 : 1,311.17 = 849.66 : x
  2. Step 2: Convert to fraction form
    875.63/1,311.17 = 849.66/x
  3. Step 3: Cross multiply
    875.63x = 1,311.17 × 849.66
  4. Step 4: Simplify right side
    875.63x = 1,114,044.45
  5. Step 5: Solve for x
    x = 1,114,044.45/875.63
  6. Step 6: Final answer
    x = 1,272.27

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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.