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Finding the Fourth Proportional to 811.67, 1,216.46 and 348.89

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Solution

The fourth proportional to 811.67, 1,216.46 and 348.89 is: 522.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.67 : 1,216.46 = 348.89 : x
  2. Step 2: Convert to fraction form
    811.67/1,216.46 = 348.89/x
  3. Step 3: Cross multiply
    811.67x = 1,216.46 × 348.89
  4. Step 4: Simplify right side
    811.67x = 424,402.90
  5. Step 5: Solve for x
    x = 424,402.90/811.67
  6. Step 6: Final answer
    x = 522.88

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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.