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Finding the Fourth Proportional to 1,517.57, 2,276.93 and 593.79

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Solution

The fourth proportional to 1,517.57, 2,276.93 and 593.79 is: 890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.57 : 2,276.93 = 593.79 : x
  2. Step 2: Convert to fraction form
    1,517.57/2,276.93 = 593.79/x
  3. Step 3: Cross multiply
    1,517.57x = 2,276.93 × 593.79
  4. Step 4: Simplify right side
    1,517.57x = 1,352,018.26
  5. Step 5: Solve for x
    x = 1,352,018.26/1,517.57
  6. Step 6: Final answer
    x = 890.91

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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.