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Finding the Fourth Proportional to 1,022.38, 1,410.90 and 556.62

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Solution

The fourth proportional to 1,022.38, 1,410.90 and 556.62 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.38 : 1,410.90 = 556.62 : x
  2. Step 2: Convert to fraction form
    1,022.38/1,410.90 = 556.62/x
  3. Step 3: Cross multiply
    1,022.38x = 1,410.90 × 556.62
  4. Step 4: Simplify right side
    1,022.38x = 785,335.16
  5. Step 5: Solve for x
    x = 785,335.16/1,022.38
  6. Step 6: Final answer
    x = 768.14

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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.