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Finding the Fourth Proportional to 912.49, 1,368.73 and 775.19

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Solution

The fourth proportional to 912.49, 1,368.73 and 775.19 is: 1,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.49 : 1,368.73 = 775.19 : x
  2. Step 2: Convert to fraction form
    912.49/1,368.73 = 775.19/x
  3. Step 3: Cross multiply
    912.49x = 1,368.73 × 775.19
  4. Step 4: Simplify right side
    912.49x = 1,061,025.81
  5. Step 5: Solve for x
    x = 1,061,025.81/912.49
  6. Step 6: Final answer
    x = 1,162.78

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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.