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Finding the Fourth Proportional to 845.32, 1,267.44 and 325.30

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Solution

The fourth proportional to 845.32, 1,267.44 and 325.30 is: 487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.32 : 1,267.44 = 325.30 : x
  2. Step 2: Convert to fraction form
    845.32/1,267.44 = 325.30/x
  3. Step 3: Cross multiply
    845.32x = 1,267.44 × 325.30
  4. Step 4: Simplify right side
    845.32x = 412,298.23
  5. Step 5: Solve for x
    x = 412,298.23/845.32
  6. Step 6: Final answer
    x = 487.74

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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.