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Finding the Fourth Proportional to 509.05, 762.84 and 354.73

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Solution

The fourth proportional to 509.05, 762.84 and 354.73 is: 531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.05 : 762.84 = 354.73 : x
  2. Step 2: Convert to fraction form
    509.05/762.84 = 354.73/x
  3. Step 3: Cross multiply
    509.05x = 762.84 × 354.73
  4. Step 4: Simplify right side
    509.05x = 270,602.23
  5. Step 5: Solve for x
    x = 270,602.23/509.05
  6. Step 6: Final answer
    x = 531.58

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1.5x scale

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.