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Finding the Fourth Proportional to 528.50, 729.74 and 418.54

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Solution

The fourth proportional to 528.50, 729.74 and 418.54 is: 577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.50 : 729.74 = 418.54 : x
  2. Step 2: Convert to fraction form
    528.50/729.74 = 418.54/x
  3. Step 3: Cross multiply
    528.50x = 729.74 × 418.54
  4. Step 4: Simplify right side
    528.50x = 305,425.38
  5. Step 5: Solve for x
    x = 305,425.38/528.50
  6. Step 6: Final answer
    x = 577.91

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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.