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Finding the Fourth Proportional to 811.06, 1,215.64 and 464.64

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Solution

The fourth proportional to 811.06, 1,215.64 and 464.64 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.06 : 1,215.64 = 464.64 : x
  2. Step 2: Convert to fraction form
    811.06/1,215.64 = 464.64/x
  3. Step 3: Cross multiply
    811.06x = 1,215.64 × 464.64
  4. Step 4: Simplify right side
    811.06x = 564,830.99
  5. Step 5: Solve for x
    x = 564,830.99/811.06
  6. Step 6: Final answer
    x = 696.41

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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.