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Finding the Fourth Proportional to 534.57, 802.65 and 328.55

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Solution

The fourth proportional to 534.57, 802.65 and 328.55 is: 493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.57 : 802.65 = 328.55 : x
  2. Step 2: Convert to fraction form
    534.57/802.65 = 328.55/x
  3. Step 3: Cross multiply
    534.57x = 802.65 × 328.55
  4. Step 4: Simplify right side
    534.57x = 263,706.64
  5. Step 5: Solve for x
    x = 263,706.64/534.57
  6. Step 6: Final answer
    x = 493.31

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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.