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Finding the Fourth Proportional to 921.02, 1,380.63 and 433.46

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Solution

The fourth proportional to 921.02, 1,380.63 and 433.46 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.02 : 1,380.63 = 433.46 : x
  2. Step 2: Convert to fraction form
    921.02/1,380.63 = 433.46/x
  3. Step 3: Cross multiply
    921.02x = 1,380.63 × 433.46
  4. Step 4: Simplify right side
    921.02x = 598,447.88
  5. Step 5: Solve for x
    x = 598,447.88/921.02
  6. Step 6: Final answer
    x = 649.77

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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.