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Finding the Fourth Proportional to 510.96, 705.30 and 324.78

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Solution

The fourth proportional to 510.96, 705.30 and 324.78 is: 448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 705.30 = 324.78 : x
  2. Step 2: Convert to fraction form
    510.96/705.30 = 324.78/x
  3. Step 3: Cross multiply
    510.96x = 705.30 × 324.78
  4. Step 4: Simplify right side
    510.96x = 229,067.33
  5. Step 5: Solve for x
    x = 229,067.33/510.96
  6. Step 6: Final answer
    x = 448.31

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Double scale
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1.5x scale

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.