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Finding the Fourth Proportional to 835.20, 1,252.58 and 348.15

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Solution

The fourth proportional to 835.20, 1,252.58 and 348.15 is: 522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,252.58 = 348.15 : x
  2. Step 2: Convert to fraction form
    835.20/1,252.58 = 348.15/x
  3. Step 3: Cross multiply
    835.20x = 1,252.58 × 348.15
  4. Step 4: Simplify right side
    835.20x = 436,083.99
  5. Step 5: Solve for x
    x = 436,083.99/835.20
  6. Step 6: Final answer
    x = 522.13

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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.