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Finding the Fourth Proportional to 535.80, 802.50 and 329.70

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Solution

The fourth proportional to 535.80, 802.50 and 329.70 is: 493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 802.50 = 329.70 : x
  2. Step 2: Convert to fraction form
    535.80/802.50 = 329.70/x
  3. Step 3: Cross multiply
    535.80x = 802.50 × 329.70
  4. Step 4: Simplify right side
    535.80x = 264,584.25
  5. Step 5: Solve for x
    x = 264,584.25/535.80
  6. Step 6: Final answer
    x = 493.81

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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.