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Finding the Fourth Proportional to 510.83, 705.24 and 324.47

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Solution

The fourth proportional to 510.83, 705.24 and 324.47 is: 447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.83 : 705.24 = 324.47 : x
  2. Step 2: Convert to fraction form
    510.83/705.24 = 324.47/x
  3. Step 3: Cross multiply
    510.83x = 705.24 × 324.47
  4. Step 4: Simplify right side
    510.83x = 228,829.22
  5. Step 5: Solve for x
    x = 228,829.22/510.83
  6. Step 6: Final answer
    x = 447.96

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Double scale
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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.