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Finding the Fourth Proportional to 510.37, 764.44 and 315.42

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Solution

The fourth proportional to 510.37, 764.44 and 315.42 is: 472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.37 : 764.44 = 315.42 : x
  2. Step 2: Convert to fraction form
    510.37/764.44 = 315.42/x
  3. Step 3: Cross multiply
    510.37x = 764.44 × 315.42
  4. Step 4: Simplify right side
    510.37x = 241,117.78
  5. Step 5: Solve for x
    x = 241,117.78/510.37
  6. Step 6: Final answer
    x = 472.44

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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.