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Finding the Fourth Proportional to 528.84, 729.40 and 404.91

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Solution

The fourth proportional to 528.84, 729.40 and 404.91 is: 558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 729.40 = 404.91 : x
  2. Step 2: Convert to fraction form
    528.84/729.40 = 404.91/x
  3. Step 3: Cross multiply
    528.84x = 729.40 × 404.91
  4. Step 4: Simplify right side
    528.84x = 295,339.33
  5. Step 5: Solve for x
    x = 295,339.33/528.84
  6. Step 6: Final answer
    x = 558.47

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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.