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Finding the Fourth Proportional to 510.62, 765.84 and 145.33

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Solution

The fourth proportional to 510.62, 765.84 and 145.33 is: 217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.62 : 765.84 = 145.33 : x
  2. Step 2: Convert to fraction form
    510.62/765.84 = 145.33/x
  3. Step 3: Cross multiply
    510.62x = 765.84 × 145.33
  4. Step 4: Simplify right side
    510.62x = 111,299.53
  5. Step 5: Solve for x
    x = 111,299.53/510.62
  6. Step 6: Final answer
    x = 217.97

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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.