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Finding the Fourth Proportional to 509.46, 763.38 and 491.64

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Solution

The fourth proportional to 509.46, 763.38 and 491.64 is: 736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.46 : 763.38 = 491.64 : x
  2. Step 2: Convert to fraction form
    509.46/763.38 = 491.64/x
  3. Step 3: Cross multiply
    509.46x = 763.38 × 491.64
  4. Step 4: Simplify right side
    509.46x = 375,308.14
  5. Step 5: Solve for x
    x = 375,308.14/509.46
  6. Step 6: Final answer
    x = 736.68

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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.