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Finding the Fourth Proportional to 1,137.60, 1,568.64 and 723.36

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Solution

The fourth proportional to 1,137.60, 1,568.64 and 723.36 is: 997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.60 : 1,568.64 = 723.36 : x
  2. Step 2: Convert to fraction form
    1,137.60/1,568.64 = 723.36/x
  3. Step 3: Cross multiply
    1,137.60x = 1,568.64 × 723.36
  4. Step 4: Simplify right side
    1,137.60x = 1,134,691.43
  5. Step 5: Solve for x
    x = 1,134,691.43/1,137.60
  6. Step 6: Final answer
    x = 997.44

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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.