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Finding the Fourth Proportional to 1,393.38, 2,089.53 and 515.77

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Solution

The fourth proportional to 1,393.38, 2,089.53 and 515.77 is: 773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.38 : 2,089.53 = 515.77 : x
  2. Step 2: Convert to fraction form
    1,393.38/2,089.53 = 515.77/x
  3. Step 3: Cross multiply
    1,393.38x = 2,089.53 × 515.77
  4. Step 4: Simplify right side
    1,393.38x = 1,077,716.89
  5. Step 5: Solve for x
    x = 1,077,716.89/1,393.38
  6. Step 6: Final answer
    x = 773.46

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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.