Home / 1,022.60-1,411.18-556.84

Finding the Fourth Proportional to 1,022.60, 1,411.18 and 556.84

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Solution

The fourth proportional to 1,022.60, 1,411.18 and 556.84 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.60 : 1,411.18 = 556.84 : x
  2. Step 2: Convert to fraction form
    1,022.60/1,411.18 = 556.84/x
  3. Step 3: Cross multiply
    1,022.60x = 1,411.18 × 556.84
  4. Step 4: Simplify right side
    1,022.60x = 785,801.47
  5. Step 5: Solve for x
    x = 785,801.47/1,022.60
  6. Step 6: Final answer
    x = 768.43

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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.