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Finding the Fourth Proportional to 510.84, 705.06 and 324.42

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Solution

The fourth proportional to 510.84, 705.06 and 324.42 is: 447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.84 : 705.06 = 324.42 : x
  2. Step 2: Convert to fraction form
    510.84/705.06 = 324.42/x
  3. Step 3: Cross multiply
    510.84x = 705.06 × 324.42
  4. Step 4: Simplify right side
    510.84x = 228,735.57
  5. Step 5: Solve for x
    x = 228,735.57/510.84
  6. Step 6: Final answer
    x = 447.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.