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Finding the Fourth Proportional to 1,312.95, 1,812.20 and 865.43

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Solution

The fourth proportional to 1,312.95, 1,812.20 and 865.43 is: 1,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.95 : 1,812.20 = 865.43 : x
  2. Step 2: Convert to fraction form
    1,312.95/1,812.20 = 865.43/x
  3. Step 3: Cross multiply
    1,312.95x = 1,812.20 × 865.43
  4. Step 4: Simplify right side
    1,312.95x = 1,568,318.86
  5. Step 5: Solve for x
    x = 1,568,318.86/1,312.95
  6. Step 6: Final answer
    x = 1,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.