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Finding the Fourth Proportional to 1,137.90, 1,566.23 and 805.75

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Solution

The fourth proportional to 1,137.90, 1,566.23 and 805.75 is: 1,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.90 : 1,566.23 = 805.75 : x
  2. Step 2: Convert to fraction form
    1,137.90/1,566.23 = 805.75/x
  3. Step 3: Cross multiply
    1,137.90x = 1,566.23 × 805.75
  4. Step 4: Simplify right side
    1,137.90x = 1,261,995.76
  5. Step 5: Solve for x
    x = 1,261,995.76/1,137.90
  6. Step 6: Final answer
    x = 1,109.05

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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.