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Finding the Fourth Proportional to 1,099.20, 1,516.93 and 601.83

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Solution

The fourth proportional to 1,099.20, 1,516.93 and 601.83 is: 830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.20 : 1,516.93 = 601.83 : x
  2. Step 2: Convert to fraction form
    1,099.20/1,516.93 = 601.83/x
  3. Step 3: Cross multiply
    1,099.20x = 1,516.93 × 601.83
  4. Step 4: Simplify right side
    1,099.20x = 912,926.40
  5. Step 5: Solve for x
    x = 912,926.40/1,099.20
  6. Step 6: Final answer
    x = 830.54

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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.