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Finding the Fourth Proportional to 510.53, 764.72 and 448.91

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Solution

The fourth proportional to 510.53, 764.72 and 448.91 is: 672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.53 : 764.72 = 448.91 : x
  2. Step 2: Convert to fraction form
    510.53/764.72 = 448.91/x
  3. Step 3: Cross multiply
    510.53x = 764.72 × 448.91
  4. Step 4: Simplify right side
    510.53x = 343,286.63
  5. Step 5: Solve for x
    x = 343,286.63/510.53
  6. Step 6: Final answer
    x = 672.42

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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.