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Finding the Fourth Proportional to 1,098.50, 1,516.11 and 633.02

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Solution

The fourth proportional to 1,098.50, 1,516.11 and 633.02 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.50 : 1,516.11 = 633.02 : x
  2. Step 2: Convert to fraction form
    1,098.50/1,516.11 = 633.02/x
  3. Step 3: Cross multiply
    1,098.50x = 1,516.11 × 633.02
  4. Step 4: Simplify right side
    1,098.50x = 959,727.95
  5. Step 5: Solve for x
    x = 959,727.95/1,098.50
  6. Step 6: Final answer
    x = 873.67

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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.