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Finding the Fourth Proportional to 806.02, 1,206.80 and 415.18

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Solution

The fourth proportional to 806.02, 1,206.80 and 415.18 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.02 : 1,206.80 = 415.18 : x
  2. Step 2: Convert to fraction form
    806.02/1,206.80 = 415.18/x
  3. Step 3: Cross multiply
    806.02x = 1,206.80 × 415.18
  4. Step 4: Simplify right side
    806.02x = 501,039.22
  5. Step 5: Solve for x
    x = 501,039.22/806.02
  6. Step 6: Final answer
    x = 621.62

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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.