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Finding the Fourth Proportional to 921.65, 1,380.90 and 433.70

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Solution

The fourth proportional to 921.65, 1,380.90 and 433.70 is: 649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.65 : 1,380.90 = 433.70 : x
  2. Step 2: Convert to fraction form
    921.65/1,380.90 = 433.70/x
  3. Step 3: Cross multiply
    921.65x = 1,380.90 × 433.70
  4. Step 4: Simplify right side
    921.65x = 598,896.33
  5. Step 5: Solve for x
    x = 598,896.33/921.65
  6. Step 6: Final answer
    x = 649.81

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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.