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Finding the Fourth Proportional to 522.52, 721.02 and 312.65

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Solution

The fourth proportional to 522.52, 721.02 and 312.65 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.52 : 721.02 = 312.65 : x
  2. Step 2: Convert to fraction form
    522.52/721.02 = 312.65/x
  3. Step 3: Cross multiply
    522.52x = 721.02 × 312.65
  4. Step 4: Simplify right side
    522.52x = 225,426.90
  5. Step 5: Solve for x
    x = 225,426.90/522.52
  6. Step 6: Final answer
    x = 431.42

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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.