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Finding the Fourth Proportional to 875.76, 1,311.36 and 849.79

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Solution

The fourth proportional to 875.76, 1,311.36 and 849.79 is: 1,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.76 : 1,311.36 = 849.79 : x
  2. Step 2: Convert to fraction form
    875.76/1,311.36 = 849.79/x
  3. Step 3: Cross multiply
    875.76x = 1,311.36 × 849.79
  4. Step 4: Simplify right side
    875.76x = 1,114,369.81
  5. Step 5: Solve for x
    x = 1,114,369.81/875.76
  6. Step 6: Final answer
    x = 1,272.47

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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.