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Finding the Fourth Proportional to 510.48, 764.76 and 282

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Solution

The fourth proportional to 510.48, 764.76 and 282 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 764.76 = 282 : x
  2. Step 2: Convert to fraction form
    510.48/764.76 = 282/x
  3. Step 3: Cross multiply
    510.48x = 764.76 × 282
  4. Step 4: Simplify right side
    510.48x = 215,662.32
  5. Step 5: Solve for x
    x = 215,662.32/510.48
  6. Step 6: Final answer
    x = 422.47

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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.