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Finding the Fourth Proportional to 522.59, 721.51 and 356.74

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Solution

The fourth proportional to 522.59, 721.51 and 356.74 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.59 : 721.51 = 356.74 : x
  2. Step 2: Convert to fraction form
    522.59/721.51 = 356.74/x
  3. Step 3: Cross multiply
    522.59x = 721.51 × 356.74
  4. Step 4: Simplify right side
    522.59x = 257,388.78
  5. Step 5: Solve for x
    x = 257,388.78/522.59
  6. Step 6: Final answer
    x = 492.53

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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.