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Finding the Fourth Proportional to 845.31, 1,266.75 and 406.43

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Solution

The fourth proportional to 845.31, 1,266.75 and 406.43 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.31 : 1,266.75 = 406.43 : x
  2. Step 2: Convert to fraction form
    845.31/1,266.75 = 406.43/x
  3. Step 3: Cross multiply
    845.31x = 1,266.75 × 406.43
  4. Step 4: Simplify right side
    845.31x = 514,838.87
  5. Step 5: Solve for x
    x = 514,838.87/845.31
  6. Step 6: Final answer
    x = 609.05

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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.