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Finding the Fourth Proportional to 1,137.03, 1,568.63 and 717.24

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Solution

The fourth proportional to 1,137.03, 1,568.63 and 717.24 is: 989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.03 : 1,568.63 = 717.24 : x
  2. Step 2: Convert to fraction form
    1,137.03/1,568.63 = 717.24/x
  3. Step 3: Cross multiply
    1,137.03x = 1,568.63 × 717.24
  4. Step 4: Simplify right side
    1,137.03x = 1,125,084.18
  5. Step 5: Solve for x
    x = 1,125,084.18/1,137.03
  6. Step 6: Final answer
    x = 989.49

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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.