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Finding the Fourth Proportional to 591.84, 817.20 and 522

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Solution

The fourth proportional to 591.84, 817.20 and 522 is: 720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.84 : 817.20 = 522 : x
  2. Step 2: Convert to fraction form
    591.84/817.20 = 522/x
  3. Step 3: Cross multiply
    591.84x = 817.20 × 522
  4. Step 4: Simplify right side
    591.84x = 426,578.40
  5. Step 5: Solve for x
    x = 426,578.40/591.84
  6. Step 6: Final answer
    x = 720.77

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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.