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Finding the Fourth Proportional to 1,113.06, 1,665.96 and 820.44

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Solution

The fourth proportional to 1,113.06, 1,665.96 and 820.44 is: 1,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.06 : 1,665.96 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,113.06/1,665.96 = 820.44/x
  3. Step 3: Cross multiply
    1,113.06x = 1,665.96 × 820.44
  4. Step 4: Simplify right side
    1,113.06x = 1,366,820.22
  5. Step 5: Solve for x
    x = 1,366,820.22/1,113.06
  6. Step 6: Final answer
    x = 1,227.98

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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.