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Finding the Fourth Proportional to 811.83, 1,215.79 and 464.11

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Solution

The fourth proportional to 811.83, 1,215.79 and 464.11 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.83 : 1,215.79 = 464.11 : x
  2. Step 2: Convert to fraction form
    811.83/1,215.79 = 464.11/x
  3. Step 3: Cross multiply
    811.83x = 1,215.79 × 464.11
  4. Step 4: Simplify right side
    811.83x = 564,260.30
  5. Step 5: Solve for x
    x = 564,260.30/811.83
  6. Step 6: Final answer
    x = 695.05

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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.