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Finding the Fourth Proportional to 2,223.32, 3,335.54 and 762.08

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Solution

The fourth proportional to 2,223.32, 3,335.54 and 762.08 is: 1,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.32 : 3,335.54 = 762.08 : x
  2. Step 2: Convert to fraction form
    2,223.32/3,335.54 = 762.08/x
  3. Step 3: Cross multiply
    2,223.32x = 3,335.54 × 762.08
  4. Step 4: Simplify right side
    2,223.32x = 2,541,948.32
  5. Step 5: Solve for x
    x = 2,541,948.32/2,223.32
  6. Step 6: Final answer
    x = 1,143.31

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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.