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Finding the Fourth Proportional to 921.01, 1,382.30 and 458.65

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Solution

The fourth proportional to 921.01, 1,382.30 and 458.65 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.01 : 1,382.30 = 458.65 : x
  2. Step 2: Convert to fraction form
    921.01/1,382.30 = 458.65/x
  3. Step 3: Cross multiply
    921.01x = 1,382.30 × 458.65
  4. Step 4: Simplify right side
    921.01x = 633,991.90
  5. Step 5: Solve for x
    x = 633,991.90/921.01
  6. Step 6: Final answer
    x = 688.37

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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.