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Finding the Fourth Proportional to 510.12, 764.58 and 355.21

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Solution

The fourth proportional to 510.12, 764.58 and 355.21 is: 532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.12 : 764.58 = 355.21 : x
  2. Step 2: Convert to fraction form
    510.12/764.58 = 355.21/x
  3. Step 3: Cross multiply
    510.12x = 764.58 × 355.21
  4. Step 4: Simplify right side
    510.12x = 271,586.09
  5. Step 5: Solve for x
    x = 271,586.09/510.12
  6. Step 6: Final answer
    x = 532.39

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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.