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Finding the Fourth Proportional to 528.25, 729.06 and 512.11

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Solution

The fourth proportional to 528.25, 729.06 and 512.11 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.25 : 729.06 = 512.11 : x
  2. Step 2: Convert to fraction form
    528.25/729.06 = 512.11/x
  3. Step 3: Cross multiply
    528.25x = 729.06 × 512.11
  4. Step 4: Simplify right side
    528.25x = 373,358.92
  5. Step 5: Solve for x
    x = 373,358.92/528.25
  6. Step 6: Final answer
    x = 706.78

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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.