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Finding the Fourth Proportional to 522.66, 721.13 and 309.94

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Solution

The fourth proportional to 522.66, 721.13 and 309.94 is: 427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.66 : 721.13 = 309.94 : x
  2. Step 2: Convert to fraction form
    522.66/721.13 = 309.94/x
  3. Step 3: Cross multiply
    522.66x = 721.13 × 309.94
  4. Step 4: Simplify right side
    522.66x = 223,507.03
  5. Step 5: Solve for x
    x = 223,507.03/522.66
  6. Step 6: Final answer
    x = 427.63

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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.