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Finding the Fourth Proportional to 921.10, 1,380.48 and 400.48

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Solution

The fourth proportional to 921.10, 1,380.48 and 400.48 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.10 : 1,380.48 = 400.48 : x
  2. Step 2: Convert to fraction form
    921.10/1,380.48 = 400.48/x
  3. Step 3: Cross multiply
    921.10x = 1,380.48 × 400.48
  4. Step 4: Simplify right side
    921.10x = 552,854.63
  5. Step 5: Solve for x
    x = 552,854.63/921.10
  6. Step 6: Final answer
    x = 600.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.