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Finding the Fourth Proportional to 1,191.29, 1,787.01 and 369.49

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Solution

The fourth proportional to 1,191.29, 1,787.01 and 369.49 is: 554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.29 : 1,787.01 = 369.49 : x
  2. Step 2: Convert to fraction form
    1,191.29/1,787.01 = 369.49/x
  3. Step 3: Cross multiply
    1,191.29x = 1,787.01 × 369.49
  4. Step 4: Simplify right side
    1,191.29x = 660,280.48
  5. Step 5: Solve for x
    x = 660,280.48/1,191.29
  6. Step 6: Final answer
    x = 554.26

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1.5x scale

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.