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Finding the Fourth Proportional to 647.73, 891.81 and 559.17

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Solution

The fourth proportional to 647.73, 891.81 and 559.17 is: 769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.73 : 891.81 = 559.17 : x
  2. Step 2: Convert to fraction form
    647.73/891.81 = 559.17/x
  3. Step 3: Cross multiply
    647.73x = 891.81 × 559.17
  4. Step 4: Simplify right side
    647.73x = 498,673.40
  5. Step 5: Solve for x
    x = 498,673.40/647.73
  6. Step 6: Final answer
    x = 769.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.