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Finding the Fourth Proportional to 1,218.55, 1,825.50 and 806.47

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Solution

The fourth proportional to 1,218.55, 1,825.50 and 806.47 is: 1,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.55 : 1,825.50 = 806.47 : x
  2. Step 2: Convert to fraction form
    1,218.55/1,825.50 = 806.47/x
  3. Step 3: Cross multiply
    1,218.55x = 1,825.50 × 806.47
  4. Step 4: Simplify right side
    1,218.55x = 1,472,210.99
  5. Step 5: Solve for x
    x = 1,472,210.99/1,218.55
  6. Step 6: Final answer
    x = 1,208.17

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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.