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Finding the Fourth Proportional to 529.09, 729.97 and 319.24

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Solution

The fourth proportional to 529.09, 729.97 and 319.24 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.09 : 729.97 = 319.24 : x
  2. Step 2: Convert to fraction form
    529.09/729.97 = 319.24/x
  3. Step 3: Cross multiply
    529.09x = 729.97 × 319.24
  4. Step 4: Simplify right side
    529.09x = 233,035.62
  5. Step 5: Solve for x
    x = 233,035.62/529.09
  6. Step 6: Final answer
    x = 440.45

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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.