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Finding the Fourth Proportional to 529.15, 729.79 and 397.93

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Solution

The fourth proportional to 529.15, 729.79 and 397.93 is: 548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.15 : 729.79 = 397.93 : x
  2. Step 2: Convert to fraction form
    529.15/729.79 = 397.93/x
  3. Step 3: Cross multiply
    529.15x = 729.79 × 397.93
  4. Step 4: Simplify right side
    529.15x = 290,405.33
  5. Step 5: Solve for x
    x = 290,405.33/529.15
  6. Step 6: Final answer
    x = 548.81

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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.