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Finding the Fourth Proportional to 528.80, 729.79 and 295.93

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Solution

The fourth proportional to 528.80, 729.79 and 295.93 is: 408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.80 : 729.79 = 295.93 : x
  2. Step 2: Convert to fraction form
    528.80/729.79 = 295.93/x
  3. Step 3: Cross multiply
    528.80x = 729.79 × 295.93
  4. Step 4: Simplify right side
    528.80x = 215,966.75
  5. Step 5: Solve for x
    x = 215,966.75/528.80
  6. Step 6: Final answer
    x = 408.41

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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.