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Finding the Fourth Proportional to 1,300.80, 1,792.52 and 927.12

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Solution

The fourth proportional to 1,300.80, 1,792.52 and 927.12 is: 1,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.80 : 1,792.52 = 927.12 : x
  2. Step 2: Convert to fraction form
    1,300.80/1,792.52 = 927.12/x
  3. Step 3: Cross multiply
    1,300.80x = 1,792.52 × 927.12
  4. Step 4: Simplify right side
    1,300.80x = 1,661,881.14
  5. Step 5: Solve for x
    x = 1,661,881.14/1,300.80
  6. Step 6: Final answer
    x = 1,277.58

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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.