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Finding the Fourth Proportional to 1,099.70, 1,646.31 and 812.42

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Solution

The fourth proportional to 1,099.70, 1,646.31 and 812.42 is: 1,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.70 : 1,646.31 = 812.42 : x
  2. Step 2: Convert to fraction form
    1,099.70/1,646.31 = 812.42/x
  3. Step 3: Cross multiply
    1,099.70x = 1,646.31 × 812.42
  4. Step 4: Simplify right side
    1,099.70x = 1,337,495.17
  5. Step 5: Solve for x
    x = 1,337,495.17/1,099.70
  6. Step 6: Final answer
    x = 1,216.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.