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Finding the Fourth Proportional to 528.58, 729.39 and 418.33

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Solution

The fourth proportional to 528.58, 729.39 and 418.33 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.58 : 729.39 = 418.33 : x
  2. Step 2: Convert to fraction form
    528.58/729.39 = 418.33/x
  3. Step 3: Cross multiply
    528.58x = 729.39 × 418.33
  4. Step 4: Simplify right side
    528.58x = 305,125.72
  5. Step 5: Solve for x
    x = 305,125.72/528.58
  6. Step 6: Final answer
    x = 577.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.