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Finding the Fourth Proportional to 512.60, 767.10 and 350.60

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Solution

The fourth proportional to 512.60, 767.10 and 350.60 is: 524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.60 : 767.10 = 350.60 : x
  2. Step 2: Convert to fraction form
    512.60/767.10 = 350.60/x
  3. Step 3: Cross multiply
    512.60x = 767.10 × 350.60
  4. Step 4: Simplify right side
    512.60x = 268,945.26
  5. Step 5: Solve for x
    x = 268,945.26/512.60
  6. Step 6: Final answer
    x = 524.67

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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.