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Finding the Fourth Proportional to 845.34, 1,267.28 and 406.37

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Solution

The fourth proportional to 845.34, 1,267.28 and 406.37 is: 609.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.34 : 1,267.28 = 406.37 : x
  2. Step 2: Convert to fraction form
    845.34/1,267.28 = 406.37/x
  3. Step 3: Cross multiply
    845.34x = 1,267.28 × 406.37
  4. Step 4: Simplify right side
    845.34x = 514,984.57
  5. Step 5: Solve for x
    x = 514,984.57/845.34
  6. Step 6: Final answer
    x = 609.20

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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.