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Finding the Fourth Proportional to 528.80, 729.54 and 404.33

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Solution

The fourth proportional to 528.80, 729.54 and 404.33 is: 557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.80 : 729.54 = 404.33 : x
  2. Step 2: Convert to fraction form
    528.80/729.54 = 404.33/x
  3. Step 3: Cross multiply
    528.80x = 729.54 × 404.33
  4. Step 4: Simplify right side
    528.80x = 294,971.26
  5. Step 5: Solve for x
    x = 294,971.26/528.80
  6. Step 6: Final answer
    x = 557.82

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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.