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Finding the Fourth Proportional to 514, 770.28 and 352.72

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Solution

The fourth proportional to 514, 770.28 and 352.72 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 770.28 = 352.72 : x
  2. Step 2: Convert to fraction form
    514/770.28 = 352.72/x
  3. Step 3: Cross multiply
    514x = 770.28 × 352.72
  4. Step 4: Simplify right side
    514x = 271,693.16
  5. Step 5: Solve for x
    x = 271,693.16/514
  6. Step 6: Final answer
    x = 528.59

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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.