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Finding the Fourth Proportional to 1,200.71, 1,800.27 and 1,036.17

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Solution

The fourth proportional to 1,200.71, 1,800.27 and 1,036.17 is: 1,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.71 : 1,800.27 = 1,036.17 : x
  2. Step 2: Convert to fraction form
    1,200.71/1,800.27 = 1,036.17/x
  3. Step 3: Cross multiply
    1,200.71x = 1,800.27 × 1,036.17
  4. Step 4: Simplify right side
    1,200.71x = 1,865,385.77
  5. Step 5: Solve for x
    x = 1,865,385.77/1,200.71
  6. Step 6: Final answer
    x = 1,553.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.