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Finding the Fourth Proportional to 514.60, 770.10 and 352.60

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Solution

The fourth proportional to 514.60, 770.10 and 352.60 is: 527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.60 : 770.10 = 352.60 : x
  2. Step 2: Convert to fraction form
    514.60/770.10 = 352.60/x
  3. Step 3: Cross multiply
    514.60x = 770.10 × 352.60
  4. Step 4: Simplify right side
    514.60x = 271,537.26
  5. Step 5: Solve for x
    x = 271,537.26/514.60
  6. Step 6: Final answer
    x = 527.67

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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.