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Finding the Fourth Proportional to 498.84, 744.24 and 444.12

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Solution

The fourth proportional to 498.84, 744.24 and 444.12 is: 662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.84 : 744.24 = 444.12 : x
  2. Step 2: Convert to fraction form
    498.84/744.24 = 444.12/x
  3. Step 3: Cross multiply
    498.84x = 744.24 × 444.12
  4. Step 4: Simplify right side
    498.84x = 330,531.87
  5. Step 5: Solve for x
    x = 330,531.87/498.84
  6. Step 6: Final answer
    x = 662.60

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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.