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Finding the Fourth Proportional to 534.50, 802.96 and 512.63

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Solution

The fourth proportional to 534.50, 802.96 and 512.63 is: 770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.50 : 802.96 = 512.63 : x
  2. Step 2: Convert to fraction form
    534.50/802.96 = 512.63/x
  3. Step 3: Cross multiply
    534.50x = 802.96 × 512.63
  4. Step 4: Simplify right side
    534.50x = 411,616.09
  5. Step 5: Solve for x
    x = 411,616.09/534.50
  6. Step 6: Final answer
    x = 770.10

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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.