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Finding the Fourth Proportional to 509.92, 760.40 and 445.12

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Solution

The fourth proportional to 509.92, 760.40 and 445.12 is: 663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.92 : 760.40 = 445.12 : x
  2. Step 2: Convert to fraction form
    509.92/760.40 = 445.12/x
  3. Step 3: Cross multiply
    509.92x = 760.40 × 445.12
  4. Step 4: Simplify right side
    509.92x = 338,469.25
  5. Step 5: Solve for x
    x = 338,469.25/509.92
  6. Step 6: Final answer
    x = 663.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.