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Finding the Fourth Proportional to 1,244.32, 1,864.32 and 918.16

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Solution

The fourth proportional to 1,244.32, 1,864.32 and 918.16 is: 1,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.32 : 1,864.32 = 918.16 : x
  2. Step 2: Convert to fraction form
    1,244.32/1,864.32 = 918.16/x
  3. Step 3: Cross multiply
    1,244.32x = 1,864.32 × 918.16
  4. Step 4: Simplify right side
    1,244.32x = 1,711,744.05
  5. Step 5: Solve for x
    x = 1,711,744.05/1,244.32
  6. Step 6: Final answer
    x = 1,375.65

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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.