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Finding the Fourth Proportional to 498.88, 744.33 and 438.13

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Solution

The fourth proportional to 498.88, 744.33 and 438.13 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.88 : 744.33 = 438.13 : x
  2. Step 2: Convert to fraction form
    498.88/744.33 = 438.13/x
  3. Step 3: Cross multiply
    498.88x = 744.33 × 438.13
  4. Step 4: Simplify right side
    498.88x = 326,113.30
  5. Step 5: Solve for x
    x = 326,113.30/498.88
  6. Step 6: Final answer
    x = 653.69

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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.