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Finding the Fourth Proportional to 528.26, 795.97 and 438.95

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Solution

The fourth proportional to 528.26, 795.97 and 438.95 is: 661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.26 : 795.97 = 438.95 : x
  2. Step 2: Convert to fraction form
    528.26/795.97 = 438.95/x
  3. Step 3: Cross multiply
    528.26x = 795.97 × 438.95
  4. Step 4: Simplify right side
    528.26x = 349,391.92
  5. Step 5: Solve for x
    x = 349,391.92/528.26
  6. Step 6: Final answer
    x = 661.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.