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Finding the Fourth Proportional to 498.32, 743.72 and 485.36

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Solution

The fourth proportional to 498.32, 743.72 and 485.36 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 743.72 = 485.36 : x
  2. Step 2: Convert to fraction form
    498.32/743.72 = 485.36/x
  3. Step 3: Cross multiply
    498.32x = 743.72 × 485.36
  4. Step 4: Simplify right side
    498.32x = 360,971.94
  5. Step 5: Solve for x
    x = 360,971.94/498.32
  6. Step 6: Final answer
    x = 724.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.