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Finding the Fourth Proportional to 1,392.31, 2,088.11 and 660.43

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Solution

The fourth proportional to 1,392.31, 2,088.11 and 660.43 is: 990.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.31 : 2,088.11 = 660.43 : x
  2. Step 2: Convert to fraction form
    1,392.31/2,088.11 = 660.43/x
  3. Step 3: Cross multiply
    1,392.31x = 2,088.11 × 660.43
  4. Step 4: Simplify right side
    1,392.31x = 1,379,047.19
  5. Step 5: Solve for x
    x = 1,379,047.19/1,392.31
  6. Step 6: Final answer
    x = 990.47

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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.