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Finding the Fourth Proportional to 868.06, 1,294.76 and 842.12

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Solution

The fourth proportional to 868.06, 1,294.76 and 842.12 is: 1,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.06 : 1,294.76 = 842.12 : x
  2. Step 2: Convert to fraction form
    868.06/1,294.76 = 842.12/x
  3. Step 3: Cross multiply
    868.06x = 1,294.76 × 842.12
  4. Step 4: Simplify right side
    868.06x = 1,090,343.29
  5. Step 5: Solve for x
    x = 1,090,343.29/868.06
  6. Step 6: Final answer
    x = 1,256.07

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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.