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Finding the Fourth Proportional to 1,558.74, 2,337.97 and 518.41

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Solution

The fourth proportional to 1,558.74, 2,337.97 and 518.41 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.74 : 2,337.97 = 518.41 : x
  2. Step 2: Convert to fraction form
    1,558.74/2,337.97 = 518.41/x
  3. Step 3: Cross multiply
    1,558.74x = 2,337.97 × 518.41
  4. Step 4: Simplify right side
    1,558.74x = 1,212,015.34
  5. Step 5: Solve for x
    x = 1,212,015.34/1,558.74
  6. Step 6: Final answer
    x = 777.56

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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.