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Finding the Fourth Proportional to 1,191.93, 1,787.87 and 575.31

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Solution

The fourth proportional to 1,191.93, 1,787.87 and 575.31 is: 862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.93 : 1,787.87 = 575.31 : x
  2. Step 2: Convert to fraction form
    1,191.93/1,787.87 = 575.31/x
  3. Step 3: Cross multiply
    1,191.93x = 1,787.87 × 575.31
  4. Step 4: Simplify right side
    1,191.93x = 1,028,587.63
  5. Step 5: Solve for x
    x = 1,028,587.63/1,191.93
  6. Step 6: Final answer
    x = 862.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.