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Finding the Fourth Proportional to 534.55, 797.96 and 494.47

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Solution

The fourth proportional to 534.55, 797.96 and 494.47 is: 738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.55 : 797.96 = 494.47 : x
  2. Step 2: Convert to fraction form
    534.55/797.96 = 494.47/x
  3. Step 3: Cross multiply
    534.55x = 797.96 × 494.47
  4. Step 4: Simplify right side
    534.55x = 394,567.28
  5. Step 5: Solve for x
    x = 394,567.28/534.55
  6. Step 6: Final answer
    x = 738.13

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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.