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Finding the Fourth Proportional to 912.04, 1,259.76 and 793.78

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Solution

The fourth proportional to 912.04, 1,259.76 and 793.78 is: 1,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.04 : 1,259.76 = 793.78 : x
  2. Step 2: Convert to fraction form
    912.04/1,259.76 = 793.78/x
  3. Step 3: Cross multiply
    912.04x = 1,259.76 × 793.78
  4. Step 4: Simplify right side
    912.04x = 999,972.29
  5. Step 5: Solve for x
    x = 999,972.29/912.04
  6. Step 6: Final answer
    x = 1,096.41

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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.