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Finding the Fourth Proportional to 522.17, 721.95 and 499.22

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Solution

The fourth proportional to 522.17, 721.95 and 499.22 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.17 : 721.95 = 499.22 : x
  2. Step 2: Convert to fraction form
    522.17/721.95 = 499.22/x
  3. Step 3: Cross multiply
    522.17x = 721.95 × 499.22
  4. Step 4: Simplify right side
    522.17x = 360,411.88
  5. Step 5: Solve for x
    x = 360,411.88/522.17
  6. Step 6: Final answer
    x = 690.22

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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.