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Finding the Fourth Proportional to 528.94, 729.39 and 353.98

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Solution

The fourth proportional to 528.94, 729.39 and 353.98 is: 488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.94 : 729.39 = 353.98 : x
  2. Step 2: Convert to fraction form
    528.94/729.39 = 353.98/x
  3. Step 3: Cross multiply
    528.94x = 729.39 × 353.98
  4. Step 4: Simplify right side
    528.94x = 258,189.47
  5. Step 5: Solve for x
    x = 258,189.47/528.94
  6. Step 6: Final answer
    x = 488.13

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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.