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Finding the Fourth Proportional to 863.13, 1,301.93 and 812.60

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Solution

The fourth proportional to 863.13, 1,301.93 and 812.60 is: 1,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.13 : 1,301.93 = 812.60 : x
  2. Step 2: Convert to fraction form
    863.13/1,301.93 = 812.60/x
  3. Step 3: Cross multiply
    863.13x = 1,301.93 × 812.60
  4. Step 4: Simplify right side
    863.13x = 1,057,953.60
  5. Step 5: Solve for x
    x = 1,057,953.60/863.13
  6. Step 6: Final answer
    x = 1,225.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.