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Finding the Fourth Proportional to 535.89, 739.74 and 518.59

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Solution

The fourth proportional to 535.89, 739.74 and 518.59 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.89 : 739.74 = 518.59 : x
  2. Step 2: Convert to fraction form
    535.89/739.74 = 518.59/x
  3. Step 3: Cross multiply
    535.89x = 739.74 × 518.59
  4. Step 4: Simplify right side
    535.89x = 383,621.77
  5. Step 5: Solve for x
    x = 383,621.77/535.89
  6. Step 6: Final answer
    x = 715.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.