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Finding the Fourth Proportional to 535.58, 739.14 and 518.57

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Solution

The fourth proportional to 535.58, 739.14 and 518.57 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.58 : 739.14 = 518.57 : x
  2. Step 2: Convert to fraction form
    535.58/739.14 = 518.57/x
  3. Step 3: Cross multiply
    535.58x = 739.14 × 518.57
  4. Step 4: Simplify right side
    535.58x = 383,295.83
  5. Step 5: Solve for x
    x = 383,295.83/535.58
  6. Step 6: Final answer
    x = 715.66

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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.