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Finding the Fourth Proportional to 845.76, 1,268.64 and 460.80

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Solution

The fourth proportional to 845.76, 1,268.64 and 460.80 is: 691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.76 : 1,268.64 = 460.80 : x
  2. Step 2: Convert to fraction form
    845.76/1,268.64 = 460.80/x
  3. Step 3: Cross multiply
    845.76x = 1,268.64 × 460.80
  4. Step 4: Simplify right side
    845.76x = 584,589.31
  5. Step 5: Solve for x
    x = 584,589.31/845.76
  6. Step 6: Final answer
    x = 691.20

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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.