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Finding the Fourth Proportional to 912.42, 1,371.51 and 792.18

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Solution

The fourth proportional to 912.42, 1,371.51 and 792.18 is: 1,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.42 : 1,371.51 = 792.18 : x
  2. Step 2: Convert to fraction form
    912.42/1,371.51 = 792.18/x
  3. Step 3: Cross multiply
    912.42x = 1,371.51 × 792.18
  4. Step 4: Simplify right side
    912.42x = 1,086,482.79
  5. Step 5: Solve for x
    x = 1,086,482.79/912.42
  6. Step 6: Final answer
    x = 1,190.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.