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Finding the Fourth Proportional to 1,115.25, 1,539 and 617.87

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Solution

The fourth proportional to 1,115.25, 1,539 and 617.87 is: 852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.25 : 1,539 = 617.87 : x
  2. Step 2: Convert to fraction form
    1,115.25/1,539 = 617.87/x
  3. Step 3: Cross multiply
    1,115.25x = 1,539 × 617.87
  4. Step 4: Simplify right side
    1,115.25x = 950,894.24
  5. Step 5: Solve for x
    x = 950,894.24/1,115.25
  6. Step 6: Final answer
    x = 852.63

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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.