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Finding the Fourth Proportional to 1,191.71, 1,787.15 and 358.52

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Solution

The fourth proportional to 1,191.71, 1,787.15 and 358.52 is: 537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.71 : 1,787.15 = 358.52 : x
  2. Step 2: Convert to fraction form
    1,191.71/1,787.15 = 358.52/x
  3. Step 3: Cross multiply
    1,191.71x = 1,787.15 × 358.52
  4. Step 4: Simplify right side
    1,191.71x = 640,720.98
  5. Step 5: Solve for x
    x = 640,720.98/1,191.71
  6. Step 6: Final answer
    x = 537.65

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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.