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Finding the Fourth Proportional to 1,481.93, 2,223.61 and 742.31

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Solution

The fourth proportional to 1,481.93, 2,223.61 and 742.31 is: 1,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.93 : 2,223.61 = 742.31 : x
  2. Step 2: Convert to fraction form
    1,481.93/2,223.61 = 742.31/x
  3. Step 3: Cross multiply
    1,481.93x = 2,223.61 × 742.31
  4. Step 4: Simplify right side
    1,481.93x = 1,650,596.82
  5. Step 5: Solve for x
    x = 1,650,596.82/1,481.93
  6. Step 6: Final answer
    x = 1,113.82

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1.5x scale

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.