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Finding the Fourth Proportional to 534.58, 736.20 and 490.84

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Solution

The fourth proportional to 534.58, 736.20 and 490.84 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.58 : 736.20 = 490.84 : x
  2. Step 2: Convert to fraction form
    534.58/736.20 = 490.84/x
  3. Step 3: Cross multiply
    534.58x = 736.20 × 490.84
  4. Step 4: Simplify right side
    534.58x = 361,356.41
  5. Step 5: Solve for x
    x = 361,356.41/534.58
  6. Step 6: Final answer
    x = 675.96

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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.