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Finding the Fourth Proportional to 1,098.68, 1,515.73 and 650.49

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Solution

The fourth proportional to 1,098.68, 1,515.73 and 650.49 is: 897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.68 : 1,515.73 = 650.49 : x
  2. Step 2: Convert to fraction form
    1,098.68/1,515.73 = 650.49/x
  3. Step 3: Cross multiply
    1,098.68x = 1,515.73 × 650.49
  4. Step 4: Simplify right side
    1,098.68x = 985,967.21
  5. Step 5: Solve for x
    x = 985,967.21/1,098.68
  6. Step 6: Final answer
    x = 897.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.