Home / 1,022.23-1,410.67-556.48

Finding the Fourth Proportional to 1,022.23, 1,410.67 and 556.48

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Solution

The fourth proportional to 1,022.23, 1,410.67 and 556.48 is: 767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.23 : 1,410.67 = 556.48 : x
  2. Step 2: Convert to fraction form
    1,022.23/1,410.67 = 556.48/x
  3. Step 3: Cross multiply
    1,022.23x = 1,410.67 × 556.48
  4. Step 4: Simplify right side
    1,022.23x = 785,006.86
  5. Step 5: Solve for x
    x = 785,006.86/1,022.23
  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.