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Finding the Fourth Proportional to 811.42, 1,217.85 and 465.10

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Solution

The fourth proportional to 811.42, 1,217.85 and 465.10 is: 698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.42 : 1,217.85 = 465.10 : x
  2. Step 2: Convert to fraction form
    811.42/1,217.85 = 465.10/x
  3. Step 3: Cross multiply
    811.42x = 1,217.85 × 465.10
  4. Step 4: Simplify right side
    811.42x = 566,422.04
  5. Step 5: Solve for x
    x = 566,422.04/811.42
  6. Step 6: Final answer
    x = 698.06

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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.