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Finding the Fourth Proportional to 811.20, 1,216.16 and 348.60

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Solution

The fourth proportional to 811.20, 1,216.16 and 348.60 is: 522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.20 : 1,216.16 = 348.60 : x
  2. Step 2: Convert to fraction form
    811.20/1,216.16 = 348.60/x
  3. Step 3: Cross multiply
    811.20x = 1,216.16 × 348.60
  4. Step 4: Simplify right side
    811.20x = 423,953.38
  5. Step 5: Solve for x
    x = 423,953.38/811.20
  6. Step 6: Final answer
    x = 522.62

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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.