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Finding the Fourth Proportional to 522.12, 782.13 and 348.21

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Solution

The fourth proportional to 522.12, 782.13 and 348.21 is: 521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 782.13 = 348.21 : x
  2. Step 2: Convert to fraction form
    522.12/782.13 = 348.21/x
  3. Step 3: Cross multiply
    522.12x = 782.13 × 348.21
  4. Step 4: Simplify right side
    522.12x = 272,345.49
  5. Step 5: Solve for x
    x = 272,345.49/522.12
  6. Step 6: Final answer
    x = 521.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.