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Finding the Fourth Proportional to 1,127.07, 1,687.64 and 780.66

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Solution

The fourth proportional to 1,127.07, 1,687.64 and 780.66 is: 1,168.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.07 : 1,687.64 = 780.66 : x
  2. Step 2: Convert to fraction form
    1,127.07/1,687.64 = 780.66/x
  3. Step 3: Cross multiply
    1,127.07x = 1,687.64 × 780.66
  4. Step 4: Simplify right side
    1,127.07x = 1,317,469.14
  5. Step 5: Solve for x
    x = 1,317,469.14/1,127.07
  6. Step 6: Final answer
    x = 1,168.93

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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.