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Finding the Fourth Proportional to 1,098.21, 1,515.57 and 600.87

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Solution

The fourth proportional to 1,098.21, 1,515.57 and 600.87 is: 829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.21 : 1,515.57 = 600.87 : x
  2. Step 2: Convert to fraction form
    1,098.21/1,515.57 = 600.87/x
  3. Step 3: Cross multiply
    1,098.21x = 1,515.57 × 600.87
  4. Step 4: Simplify right side
    1,098.21x = 910,660.55
  5. Step 5: Solve for x
    x = 910,660.55/1,098.21
  6. Step 6: Final answer
    x = 829.22

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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.