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Finding the Fourth Proportional to 1,062.41, 1,586.24 and 996.80

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Solution

The fourth proportional to 1,062.41, 1,586.24 and 996.80 is: 1,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.41 : 1,586.24 = 996.80 : x
  2. Step 2: Convert to fraction form
    1,062.41/1,586.24 = 996.80/x
  3. Step 3: Cross multiply
    1,062.41x = 1,586.24 × 996.80
  4. Step 4: Simplify right side
    1,062.41x = 1,581,159.05
  5. Step 5: Solve for x
    x = 1,581,159.05/1,062.41
  6. Step 6: Final answer
    x = 1,488.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.