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Finding the Fourth Proportional to 921.95, 1,278.61 and 844.10

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Solution

The fourth proportional to 921.95, 1,278.61 and 844.10 is: 1,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.95 : 1,278.61 = 844.10 : x
  2. Step 2: Convert to fraction form
    921.95/1,278.61 = 844.10/x
  3. Step 3: Cross multiply
    921.95x = 1,278.61 × 844.10
  4. Step 4: Simplify right side
    921.95x = 1,079,275.79
  5. Step 5: Solve for x
    x = 1,079,275.79/921.95
  6. Step 6: Final answer
    x = 1,170.64

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.