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Finding the Fourth Proportional to 1,127.07, 1,555.31 and 629.71

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Solution

The fourth proportional to 1,127.07, 1,555.31 and 629.71 is: 868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.07 : 1,555.31 = 629.71 : x
  2. Step 2: Convert to fraction form
    1,127.07/1,555.31 = 629.71/x
  3. Step 3: Cross multiply
    1,127.07x = 1,555.31 × 629.71
  4. Step 4: Simplify right side
    1,127.07x = 979,391.95
  5. Step 5: Solve for x
    x = 979,391.95/1,127.07
  6. Step 6: Final answer
    x = 868.97

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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.