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Finding the Fourth Proportional to 871.70, 1,306.17 and 848.93

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Solution

The fourth proportional to 871.70, 1,306.17 and 848.93 is: 1,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.70 : 1,306.17 = 848.93 : x
  2. Step 2: Convert to fraction form
    871.70/1,306.17 = 848.93/x
  3. Step 3: Cross multiply
    871.70x = 1,306.17 × 848.93
  4. Step 4: Simplify right side
    871.70x = 1,108,846.90
  5. Step 5: Solve for x
    x = 1,108,846.90/871.70
  6. Step 6: Final answer
    x = 1,272.05

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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.