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Finding the Fourth Proportional to 1,126.73, 1,555.21 and 654.73

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Solution

The fourth proportional to 1,126.73, 1,555.21 and 654.73 is: 903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.73 : 1,555.21 = 654.73 : x
  2. Step 2: Convert to fraction form
    1,126.73/1,555.21 = 654.73/x
  3. Step 3: Cross multiply
    1,126.73x = 1,555.21 × 654.73
  4. Step 4: Simplify right side
    1,126.73x = 1,018,237.12
  5. Step 5: Solve for x
    x = 1,018,237.12/1,126.73
  6. Step 6: Final answer
    x = 903.71

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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.