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Finding the Fourth Proportional to 647.05, 969.81 and 282.10

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Solution

The fourth proportional to 647.05, 969.81 and 282.10 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.05 : 969.81 = 282.10 : x
  2. Step 2: Convert to fraction form
    647.05/969.81 = 282.10/x
  3. Step 3: Cross multiply
    647.05x = 969.81 × 282.10
  4. Step 4: Simplify right side
    647.05x = 273,583.40
  5. Step 5: Solve for x
    x = 273,583.40/647.05
  6. Step 6: Final answer
    x = 422.82

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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.