Home / 1,022.80-1,411.45-557.05

Finding the Fourth Proportional to 1,022.80, 1,411.45 and 557.05

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Solution

The fourth proportional to 1,022.80, 1,411.45 and 557.05 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,411.45 = 557.05 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,411.45 = 557.05/x
  3. Step 3: Cross multiply
    1,022.80x = 1,411.45 × 557.05
  4. Step 4: Simplify right side
    1,022.80x = 786,248.22
  5. Step 5: Solve for x
    x = 786,248.22/1,022.80
  6. Step 6: Final answer
    x = 768.72

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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.