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Finding the Fourth Proportional to 918.75, 1,377.42 and 456.17

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Solution

The fourth proportional to 918.75, 1,377.42 and 456.17 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.75 : 1,377.42 = 456.17 : x
  2. Step 2: Convert to fraction form
    918.75/1,377.42 = 456.17/x
  3. Step 3: Cross multiply
    918.75x = 1,377.42 × 456.17
  4. Step 4: Simplify right side
    918.75x = 628,338.83
  5. Step 5: Solve for x
    x = 628,338.83/918.75
  6. Step 6: Final answer
    x = 683.91

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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.