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Finding the Fourth Proportional to 551.26, 759.74 and 535.47

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Solution

The fourth proportional to 551.26, 759.74 and 535.47 is: 737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.26 : 759.74 = 535.47 : x
  2. Step 2: Convert to fraction form
    551.26/759.74 = 535.47/x
  3. Step 3: Cross multiply
    551.26x = 759.74 × 535.47
  4. Step 4: Simplify right side
    551.26x = 406,814.18
  5. Step 5: Solve for x
    x = 406,814.18/551.26
  6. Step 6: Final answer
    x = 737.97

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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.