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Finding the Fourth Proportional to 808, 1,210.79 and 461.15

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Solution

The fourth proportional to 808, 1,210.79 and 461.15 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    808 : 1,210.79 = 461.15 : x
  2. Step 2: Convert to fraction form
    808/1,210.79 = 461.15/x
  3. Step 3: Cross multiply
    808x = 1,210.79 × 461.15
  4. Step 4: Simplify right side
    808x = 558,355.81
  5. Step 5: Solve for x
    x = 558,355.81/808
  6. Step 6: Final answer
    x = 691.03

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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.