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Finding the Fourth Proportional to 509.44, 762.54 and 431.68

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Solution

The fourth proportional to 509.44, 762.54 and 431.68 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.44 : 762.54 = 431.68 : x
  2. Step 2: Convert to fraction form
    509.44/762.54 = 431.68/x
  3. Step 3: Cross multiply
    509.44x = 762.54 × 431.68
  4. Step 4: Simplify right side
    509.44x = 329,173.27
  5. Step 5: Solve for x
    x = 329,173.27/509.44
  6. Step 6: Final answer
    x = 646.15

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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.