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Finding the Fourth Proportional to 498.40, 744.43 and 425.50

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Solution

The fourth proportional to 498.40, 744.43 and 425.50 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 744.43 = 425.50 : x
  2. Step 2: Convert to fraction form
    498.40/744.43 = 425.50/x
  3. Step 3: Cross multiply
    498.40x = 744.43 × 425.50
  4. Step 4: Simplify right side
    498.40x = 316,754.97
  5. Step 5: Solve for x
    x = 316,754.97/498.40
  6. Step 6: Final answer
    x = 635.54

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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.