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Finding the Fourth Proportional to 845.41, 1,268.72 and 521.00

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Solution

The fourth proportional to 845.41, 1,268.72 and 521.00 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.41 : 1,268.72 = 521.00 : x
  2. Step 2: Convert to fraction form
    845.41/1,268.72 = 521.00/x
  3. Step 3: Cross multiply
    845.41x = 1,268.72 × 521.00
  4. Step 4: Simplify right side
    845.41x = 661,005.64
  5. Step 5: Solve for x
    x = 661,005.64/845.41
  6. Step 6: Final answer
    x = 781.88

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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.