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Finding the Fourth Proportional to 918.70, 1,377.42 and 455.92

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Solution

The fourth proportional to 918.70, 1,377.42 and 455.92 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.70 : 1,377.42 = 455.92 : x
  2. Step 2: Convert to fraction form
    918.70/1,377.42 = 455.92/x
  3. Step 3: Cross multiply
    918.70x = 1,377.42 × 455.92
  4. Step 4: Simplify right side
    918.70x = 627,993.33
  5. Step 5: Solve for x
    x = 627,993.33/918.70
  6. Step 6: Final answer
    x = 683.57

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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.