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Finding the Fourth Proportional to 534.56, 802.34 and 329.52

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Solution

The fourth proportional to 534.56, 802.34 and 329.52 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.56 : 802.34 = 329.52 : x
  2. Step 2: Convert to fraction form
    534.56/802.34 = 329.52/x
  3. Step 3: Cross multiply
    534.56x = 802.34 × 329.52
  4. Step 4: Simplify right side
    534.56x = 264,385.43
  5. Step 5: Solve for x
    x = 264,385.43/534.56
  6. Step 6: Final answer
    x = 494.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.