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Finding the Fourth Proportional to 845.43, 1,268.70 and 297.60

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Solution

The fourth proportional to 845.43, 1,268.70 and 297.60 is: 446.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.43 : 1,268.70 = 297.60 : x
  2. Step 2: Convert to fraction form
    845.43/1,268.70 = 297.60/x
  3. Step 3: Cross multiply
    845.43x = 1,268.70 × 297.60
  4. Step 4: Simplify right side
    845.43x = 377,565.12
  5. Step 5: Solve for x
    x = 377,565.12/845.43
  6. Step 6: Final answer
    x = 446.60

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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.