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Finding the Fourth Proportional to 1,393.19, 2,089.87 and 613.56

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Solution

The fourth proportional to 1,393.19, 2,089.87 and 613.56 is: 920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.19 : 2,089.87 = 613.56 : x
  2. Step 2: Convert to fraction form
    1,393.19/2,089.87 = 613.56/x
  3. Step 3: Cross multiply
    1,393.19x = 2,089.87 × 613.56
  4. Step 4: Simplify right side
    1,393.19x = 1,282,255.18
  5. Step 5: Solve for x
    x = 1,282,255.18/1,393.19
  6. Step 6: Final answer
    x = 920.37

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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.