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Finding the Fourth Proportional to 497.33, 744.79 and 438.93

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Solution

The fourth proportional to 497.33, 744.79 and 438.93 is: 657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.33 : 744.79 = 438.93 : x
  2. Step 2: Convert to fraction form
    497.33/744.79 = 438.93/x
  3. Step 3: Cross multiply
    497.33x = 744.79 × 438.93
  4. Step 4: Simplify right side
    497.33x = 326,910.67
  5. Step 5: Solve for x
    x = 326,910.67/497.33
  6. Step 6: Final answer
    x = 657.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.