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Finding the Fourth Proportional to 522.95, 721.34 and 312.98

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Solution

The fourth proportional to 522.95, 721.34 and 312.98 is: 431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.95 : 721.34 = 312.98 : x
  2. Step 2: Convert to fraction form
    522.95/721.34 = 312.98/x
  3. Step 3: Cross multiply
    522.95x = 721.34 × 312.98
  4. Step 4: Simplify right side
    522.95x = 225,759.82
  5. Step 5: Solve for x
    x = 225,759.82/522.95
  6. Step 6: Final answer
    x = 431.71

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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.