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Finding the Fourth Proportional to 535.74, 799.97 and 458.59

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Solution

The fourth proportional to 535.74, 799.97 and 458.59 is: 684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 799.97 = 458.59 : x
  2. Step 2: Convert to fraction form
    535.74/799.97 = 458.59/x
  3. Step 3: Cross multiply
    535.74x = 799.97 × 458.59
  4. Step 4: Simplify right side
    535.74x = 366,858.24
  5. Step 5: Solve for x
    x = 366,858.24/535.74
  6. Step 6: Final answer
    x = 684.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.