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Finding the Fourth Proportional to 1,587.78, 2,382.06 and 664.04

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Solution

The fourth proportional to 1,587.78, 2,382.06 and 664.04 is: 996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.78 : 2,382.06 = 664.04 : x
  2. Step 2: Convert to fraction form
    1,587.78/2,382.06 = 664.04/x
  3. Step 3: Cross multiply
    1,587.78x = 2,382.06 × 664.04
  4. Step 4: Simplify right side
    1,587.78x = 1,581,783.12
  5. Step 5: Solve for x
    x = 1,581,783.12/1,587.78
  6. Step 6: Final answer
    x = 996.22

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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.