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Finding the Fourth Proportional to 528.25, 729.19 and 353.70

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Solution

The fourth proportional to 528.25, 729.19 and 353.70 is: 488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.25 : 729.19 = 353.70 : x
  2. Step 2: Convert to fraction form
    528.25/729.19 = 353.70/x
  3. Step 3: Cross multiply
    528.25x = 729.19 × 353.70
  4. Step 4: Simplify right side
    528.25x = 257,914.50
  5. Step 5: Solve for x
    x = 257,914.50/528.25
  6. Step 6: Final answer
    x = 488.24

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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.