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Finding the Fourth Proportional to 811.02, 1,216.13 and 263.13

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Solution

The fourth proportional to 811.02, 1,216.13 and 263.13 is: 394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.02 : 1,216.13 = 263.13 : x
  2. Step 2: Convert to fraction form
    811.02/1,216.13 = 263.13/x
  3. Step 3: Cross multiply
    811.02x = 1,216.13 × 263.13
  4. Step 4: Simplify right side
    811.02x = 319,998.97
  5. Step 5: Solve for x
    x = 319,998.97/811.02
  6. Step 6: Final answer
    x = 394.57

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1.5x scale

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.