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Finding the Fourth Proportional to 1,115.75, 1,539.77 and 611.63

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Solution

The fourth proportional to 1,115.75, 1,539.77 and 611.63 is: 844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.75 : 1,539.77 = 611.63 : x
  2. Step 2: Convert to fraction form
    1,115.75/1,539.77 = 611.63/x
  3. Step 3: Cross multiply
    1,115.75x = 1,539.77 × 611.63
  4. Step 4: Simplify right side
    1,115.75x = 941,772.61
  5. Step 5: Solve for x
    x = 941,772.61/1,115.75
  6. Step 6: Final answer
    x = 844.07

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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.