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Finding the Fourth Proportional to 1,022.22, 1,410.68 and 556.47

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Solution

The fourth proportional to 1,022.22, 1,410.68 and 556.47 is: 767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.22 : 1,410.68 = 556.47 : x
  2. Step 2: Convert to fraction form
    1,022.22/1,410.68 = 556.47/x
  3. Step 3: Cross multiply
    1,022.22x = 1,410.68 × 556.47
  4. Step 4: Simplify right side
    1,022.22x = 785,002.49
  5. Step 5: Solve for x
    x = 785,002.49/1,022.22
  6. Step 6: Final answer
    x = 767.94

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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.