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Finding the Fourth Proportional to 1,137.53, 1,568.63 and 783.77

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Solution

The fourth proportional to 1,137.53, 1,568.63 and 783.77 is: 1,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.53 : 1,568.63 = 783.77 : x
  2. Step 2: Convert to fraction form
    1,137.53/1,568.63 = 783.77/x
  3. Step 3: Cross multiply
    1,137.53x = 1,568.63 × 783.77
  4. Step 4: Simplify right side
    1,137.53x = 1,229,439.25
  5. Step 5: Solve for x
    x = 1,229,439.25/1,137.53
  6. Step 6: Final answer
    x = 1,080.79

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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.