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Finding the Fourth Proportional to 1,098.69, 1,516.20 and 650.58

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Solution

The fourth proportional to 1,098.69, 1,516.20 and 650.58 is: 897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.69 : 1,516.20 = 650.58 : x
  2. Step 2: Convert to fraction form
    1,098.69/1,516.20 = 650.58/x
  3. Step 3: Cross multiply
    1,098.69x = 1,516.20 × 650.58
  4. Step 4: Simplify right side
    1,098.69x = 986,409.40
  5. Step 5: Solve for x
    x = 986,409.40/1,098.69
  6. Step 6: Final answer
    x = 897.81

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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.