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Finding the Fourth Proportional to 528.69, 729.19 and 404.04

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Solution

The fourth proportional to 528.69, 729.19 and 404.04 is: 557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.69 : 729.19 = 404.04 : x
  2. Step 2: Convert to fraction form
    528.69/729.19 = 404.04/x
  3. Step 3: Cross multiply
    528.69x = 729.19 × 404.04
  4. Step 4: Simplify right side
    528.69x = 294,621.93
  5. Step 5: Solve for x
    x = 294,621.93/528.69
  6. Step 6: Final answer
    x = 557.27

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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.