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Finding the Fourth Proportional to 522.65, 721.27 and 312.95

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Solution

The fourth proportional to 522.65, 721.27 and 312.95 is: 431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.65 : 721.27 = 312.95 : x
  2. Step 2: Convert to fraction form
    522.65/721.27 = 312.95/x
  3. Step 3: Cross multiply
    522.65x = 721.27 × 312.95
  4. Step 4: Simplify right side
    522.65x = 225,721.45
  5. Step 5: Solve for x
    x = 225,721.45/522.65
  6. Step 6: Final answer
    x = 431.88

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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.