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Finding the Fourth Proportional to 835.08, 1,252.94 and 348

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Solution

The fourth proportional to 835.08, 1,252.94 and 348 is: 522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.08 : 1,252.94 = 348 : x
  2. Step 2: Convert to fraction form
    835.08/1,252.94 = 348/x
  3. Step 3: Cross multiply
    835.08x = 1,252.94 × 348
  4. Step 4: Simplify right side
    835.08x = 436,023.12
  5. Step 5: Solve for x
    x = 436,023.12/835.08
  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.