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Finding the Fourth Proportional to 912.77, 1,362.42 and 839.57

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Solution

The fourth proportional to 912.77, 1,362.42 and 839.57 is: 1,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.77 : 1,362.42 = 839.57 : x
  2. Step 2: Convert to fraction form
    912.77/1,362.42 = 839.57/x
  3. Step 3: Cross multiply
    912.77x = 1,362.42 × 839.57
  4. Step 4: Simplify right side
    912.77x = 1,143,840.15
  5. Step 5: Solve for x
    x = 1,143,840.15/912.77
  6. Step 6: Final answer
    x = 1,253.15

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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.