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Finding the Fourth Proportional to 485.32, 726.88 and 412.52

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Solution

The fourth proportional to 485.32, 726.88 and 412.52 is: 617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.32 : 726.88 = 412.52 : x
  2. Step 2: Convert to fraction form
    485.32/726.88 = 412.52/x
  3. Step 3: Cross multiply
    485.32x = 726.88 × 412.52
  4. Step 4: Simplify right side
    485.32x = 299,852.54
  5. Step 5: Solve for x
    x = 299,852.54/485.32
  6. Step 6: Final answer
    x = 617.85

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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.