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Finding the Fourth Proportional to 921.11, 1,380.15 and 509.23

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Solution

The fourth proportional to 921.11, 1,380.15 and 509.23 is: 763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.11 : 1,380.15 = 509.23 : x
  2. Step 2: Convert to fraction form
    921.11/1,380.15 = 509.23/x
  3. Step 3: Cross multiply
    921.11x = 1,380.15 × 509.23
  4. Step 4: Simplify right side
    921.11x = 702,810.33
  5. Step 5: Solve for x
    x = 702,810.33/921.11
  6. Step 6: Final answer
    x = 763.00

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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.