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Finding the Fourth Proportional to 2,963.68, 4,445.55 and 772.42

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Solution

The fourth proportional to 2,963.68, 4,445.55 and 772.42 is: 1,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.68 : 4,445.55 = 772.42 : x
  2. Step 2: Convert to fraction form
    2,963.68/4,445.55 = 772.42/x
  3. Step 3: Cross multiply
    2,963.68x = 4,445.55 × 772.42
  4. Step 4: Simplify right side
    2,963.68x = 3,433,831.73
  5. Step 5: Solve for x
    x = 3,433,831.73/2,963.68
  6. Step 6: Final answer
    x = 1,158.64

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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.