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Finding the Fourth Proportional to 2,228.43, 3,342.51 and 767.55

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Solution

The fourth proportional to 2,228.43, 3,342.51 and 767.55 is: 1,151.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.43 : 3,342.51 = 767.55 : x
  2. Step 2: Convert to fraction form
    2,228.43/3,342.51 = 767.55/x
  3. Step 3: Cross multiply
    2,228.43x = 3,342.51 × 767.55
  4. Step 4: Simplify right side
    2,228.43x = 2,565,543.55
  5. Step 5: Solve for x
    x = 2,565,543.55/2,228.43
  6. Step 6: Final answer
    x = 1,151.28

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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.