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Finding the Fourth Proportional to 918.16, 1,258.79 and 901.78

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Solution

The fourth proportional to 918.16, 1,258.79 and 901.78 is: 1,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.16 : 1,258.79 = 901.78 : x
  2. Step 2: Convert to fraction form
    918.16/1,258.79 = 901.78/x
  3. Step 3: Cross multiply
    918.16x = 1,258.79 × 901.78
  4. Step 4: Simplify right side
    918.16x = 1,135,151.65
  5. Step 5: Solve for x
    x = 1,135,151.65/918.16
  6. Step 6: Final answer
    x = 1,236.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.