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Finding the Fourth Proportional to 1,343.23, 2,012.09 and 613.32

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Solution

The fourth proportional to 1,343.23, 2,012.09 and 613.32 is: 918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.23 : 2,012.09 = 613.32 : x
  2. Step 2: Convert to fraction form
    1,343.23/2,012.09 = 613.32/x
  3. Step 3: Cross multiply
    1,343.23x = 2,012.09 × 613.32
  4. Step 4: Simplify right side
    1,343.23x = 1,234,059.19
  5. Step 5: Solve for x
    x = 1,234,059.19/1,343.23
  6. Step 6: Final answer
    x = 918.72

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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.