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Finding the Fourth Proportional to 1,099.41, 1,648.99 and 687.12

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Solution

The fourth proportional to 1,099.41, 1,648.99 and 687.12 is: 1,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.41 : 1,648.99 = 687.12 : x
  2. Step 2: Convert to fraction form
    1,099.41/1,648.99 = 687.12/x
  3. Step 3: Cross multiply
    1,099.41x = 1,648.99 × 687.12
  4. Step 4: Simplify right side
    1,099.41x = 1,133,054.01
  5. Step 5: Solve for x
    x = 1,133,054.01/1,099.41
  6. Step 6: Final answer
    x = 1,030.60

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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.