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Finding the Fourth Proportional to 534.87, 798.39 and 491.54

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Solution

The fourth proportional to 534.87, 798.39 and 491.54 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.87 : 798.39 = 491.54 : x
  2. Step 2: Convert to fraction form
    534.87/798.39 = 491.54/x
  3. Step 3: Cross multiply
    534.87x = 798.39 × 491.54
  4. Step 4: Simplify right side
    534.87x = 392,436.63
  5. Step 5: Solve for x
    x = 392,436.63/534.87
  6. Step 6: Final answer
    x = 733.70

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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.