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Finding the Fourth Proportional to 1,137.48, 1,569.65 and 689.75

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Solution

The fourth proportional to 1,137.48, 1,569.65 and 689.75 is: 951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.48 : 1,569.65 = 689.75 : x
  2. Step 2: Convert to fraction form
    1,137.48/1,569.65 = 689.75/x
  3. Step 3: Cross multiply
    1,137.48x = 1,569.65 × 689.75
  4. Step 4: Simplify right side
    1,137.48x = 1,082,660.68
  5. Step 5: Solve for x
    x = 1,082,660.68/1,137.48
  6. Step 6: Final answer
    x = 951.81

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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.