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Finding the Fourth Proportional to 522.84, 721.53 and 286.81

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Solution

The fourth proportional to 522.84, 721.53 and 286.81 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 721.53 = 286.81 : x
  2. Step 2: Convert to fraction form
    522.84/721.53 = 286.81/x
  3. Step 3: Cross multiply
    522.84x = 721.53 × 286.81
  4. Step 4: Simplify right side
    522.84x = 206,943.81
  5. Step 5: Solve for x
    x = 206,943.81/522.84
  6. Step 6: Final answer
    x = 395.80

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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.