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Finding the Fourth Proportional to 509.52, 763.74 and 482.52

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Solution

The fourth proportional to 509.52, 763.74 and 482.52 is: 723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 763.74 = 482.52 : x
  2. Step 2: Convert to fraction form
    509.52/763.74 = 482.52/x
  3. Step 3: Cross multiply
    509.52x = 763.74 × 482.52
  4. Step 4: Simplify right side
    509.52x = 368,519.82
  5. Step 5: Solve for x
    x = 368,519.82/509.52
  6. Step 6: Final answer
    x = 723.27

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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.