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Finding the Fourth Proportional to 522.84, 724.96 and 505.49

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Solution

The fourth proportional to 522.84, 724.96 and 505.49 is: 700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 724.96 = 505.49 : x
  2. Step 2: Convert to fraction form
    522.84/724.96 = 505.49/x
  3. Step 3: Cross multiply
    522.84x = 724.96 × 505.49
  4. Step 4: Simplify right side
    522.84x = 366,460.03
  5. Step 5: Solve for x
    x = 366,460.03/522.84
  6. Step 6: Final answer
    x = 700.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.