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Finding the Fourth Proportional to 498.50, 742.80 and 443.98

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Solution

The fourth proportional to 498.50, 742.80 and 443.98 is: 661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.50 : 742.80 = 443.98 : x
  2. Step 2: Convert to fraction form
    498.50/742.80 = 443.98/x
  3. Step 3: Cross multiply
    498.50x = 742.80 × 443.98
  4. Step 4: Simplify right side
    498.50x = 329,782.41
  5. Step 5: Solve for x
    x = 329,782.41/498.50
  6. Step 6: Final answer
    x = 661.55

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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.