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Finding the Fourth Proportional to 522.99, 721.47 and 382.87

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Solution

The fourth proportional to 522.99, 721.47 and 382.87 is: 528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.99 : 721.47 = 382.87 : x
  2. Step 2: Convert to fraction form
    522.99/721.47 = 382.87/x
  3. Step 3: Cross multiply
    522.99x = 721.47 × 382.87
  4. Step 4: Simplify right side
    522.99x = 276,229.22
  5. Step 5: Solve for x
    x = 276,229.22/522.99
  6. Step 6: Final answer
    x = 528.17

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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.