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Finding the Fourth Proportional to 811.06, 1,217.12 and 348.93

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Solution

The fourth proportional to 811.06, 1,217.12 and 348.93 is: 523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.06 : 1,217.12 = 348.93 : x
  2. Step 2: Convert to fraction form
    811.06/1,217.12 = 348.93/x
  3. Step 3: Cross multiply
    811.06x = 1,217.12 × 348.93
  4. Step 4: Simplify right side
    811.06x = 424,687.94
  5. Step 5: Solve for x
    x = 424,687.94/811.06
  6. Step 6: Final answer
    x = 523.62

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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.