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Finding the Fourth Proportional to 918.57, 1,377.81 and 816.78

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Solution

The fourth proportional to 918.57, 1,377.81 and 816.78 is: 1,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.57 : 1,377.81 = 816.78 : x
  2. Step 2: Convert to fraction form
    918.57/1,377.81 = 816.78/x
  3. Step 3: Cross multiply
    918.57x = 1,377.81 × 816.78
  4. Step 4: Simplify right side
    918.57x = 1,125,367.65
  5. Step 5: Solve for x
    x = 1,125,367.65/918.57
  6. Step 6: Final answer
    x = 1,225.13

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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.