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Finding the Fourth Proportional to 535.47, 739.25 and 369.93

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Solution

The fourth proportional to 535.47, 739.25 and 369.93 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.47 : 739.25 = 369.93 : x
  2. Step 2: Convert to fraction form
    535.47/739.25 = 369.93/x
  3. Step 3: Cross multiply
    535.47x = 739.25 × 369.93
  4. Step 4: Simplify right side
    535.47x = 273,470.75
  5. Step 5: Solve for x
    x = 273,470.75/535.47
  6. Step 6: Final answer
    x = 510.71

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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.