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Finding the Fourth Proportional to 845.71, 1,267.85 and 298.25

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Solution

The fourth proportional to 845.71, 1,267.85 and 298.25 is: 447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.71 : 1,267.85 = 298.25 : x
  2. Step 2: Convert to fraction form
    845.71/1,267.85 = 298.25/x
  3. Step 3: Cross multiply
    845.71x = 1,267.85 × 298.25
  4. Step 4: Simplify right side
    845.71x = 378,135.42
  5. Step 5: Solve for x
    x = 378,135.42/845.71
  6. Step 6: Final answer
    x = 447.12

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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.