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Finding the Fourth Proportional to 1,250.96, 1,726.37 and 830.59

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Solution

The fourth proportional to 1,250.96, 1,726.37 and 830.59 is: 1,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.96 : 1,726.37 = 830.59 : x
  2. Step 2: Convert to fraction form
    1,250.96/1,726.37 = 830.59/x
  3. Step 3: Cross multiply
    1,250.96x = 1,726.37 × 830.59
  4. Step 4: Simplify right side
    1,250.96x = 1,433,904.98
  5. Step 5: Solve for x
    x = 1,433,904.98/1,250.96
  6. Step 6: Final answer
    x = 1,146.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.