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Finding the Fourth Proportional to 528.95, 729.51 and 418.23

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Solution

The fourth proportional to 528.95, 729.51 and 418.23 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.95 : 729.51 = 418.23 : x
  2. Step 2: Convert to fraction form
    528.95/729.51 = 418.23/x
  3. Step 3: Cross multiply
    528.95x = 729.51 × 418.23
  4. Step 4: Simplify right side
    528.95x = 305,102.97
  5. Step 5: Solve for x
    x = 305,102.97/528.95
  6. Step 6: Final answer
    x = 576.81

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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.