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Finding the Fourth Proportional to 758.77, 1,046.61 and 459.94

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Solution

The fourth proportional to 758.77, 1,046.61 and 459.94 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.77 : 1,046.61 = 459.94 : x
  2. Step 2: Convert to fraction form
    758.77/1,046.61 = 459.94/x
  3. Step 3: Cross multiply
    758.77x = 1,046.61 × 459.94
  4. Step 4: Simplify right side
    758.77x = 481,377.80
  5. Step 5: Solve for x
    x = 481,377.80/758.77
  6. Step 6: Final answer
    x = 634.42

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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.