Home / 1,022.20-1,410.64-556.45

Finding the Fourth Proportional to 1,022.20, 1,410.64 and 556.45

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Solution

The fourth proportional to 1,022.20, 1,410.64 and 556.45 is: 767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,410.64 = 556.45 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,410.64 = 556.45/x
  3. Step 3: Cross multiply
    1,022.20x = 1,410.64 × 556.45
  4. Step 4: Simplify right side
    1,022.20x = 784,955.21
  5. Step 5: Solve for x
    x = 784,955.21/1,022.20
  6. Step 6: Final answer
    x = 767.91

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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.