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Finding the Fourth Proportional to 921.72, 1,382 and 511.08

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Solution

The fourth proportional to 921.72, 1,382 and 511.08 is: 766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.72 : 1,382 = 511.08 : x
  2. Step 2: Convert to fraction form
    921.72/1,382 = 511.08/x
  3. Step 3: Cross multiply
    921.72x = 1,382 × 511.08
  4. Step 4: Simplify right side
    921.72x = 706,312.56
  5. Step 5: Solve for x
    x = 706,312.56/921.72
  6. Step 6: Final answer
    x = 766.30

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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.