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Finding the Fourth Proportional to 1,153.90, 1,589.61 and 917.78

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Solution

The fourth proportional to 1,153.90, 1,589.61 and 917.78 is: 1,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.90 : 1,589.61 = 917.78 : x
  2. Step 2: Convert to fraction form
    1,153.90/1,589.61 = 917.78/x
  3. Step 3: Cross multiply
    1,153.90x = 1,589.61 × 917.78
  4. Step 4: Simplify right side
    1,153.90x = 1,458,911.54
  5. Step 5: Solve for x
    x = 1,458,911.54/1,153.90
  6. Step 6: Final answer
    x = 1,264.33

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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.