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Finding the Fourth Proportional to 871.23, 1,300.22 and 812.91

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Solution

The fourth proportional to 871.23, 1,300.22 and 812.91 is: 1,213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.23 : 1,300.22 = 812.91 : x
  2. Step 2: Convert to fraction form
    871.23/1,300.22 = 812.91/x
  3. Step 3: Cross multiply
    871.23x = 1,300.22 × 812.91
  4. Step 4: Simplify right side
    871.23x = 1,056,963.87
  5. Step 5: Solve for x
    x = 1,056,963.87/871.23
  6. Step 6: Final answer
    x = 1,213.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.