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Finding the Fourth Proportional to 528.75, 729.96 and 396.70

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Solution

The fourth proportional to 528.75, 729.96 and 396.70 is: 547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.75 : 729.96 = 396.70 : x
  2. Step 2: Convert to fraction form
    528.75/729.96 = 396.70/x
  3. Step 3: Cross multiply
    528.75x = 729.96 × 396.70
  4. Step 4: Simplify right side
    528.75x = 289,574.05
  5. Step 5: Solve for x
    x = 289,574.05/528.75
  6. Step 6: Final answer
    x = 547.65

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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.