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Finding the Fourth Proportional to 510.78, 705.12 and 324.36

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Solution

The fourth proportional to 510.78, 705.12 and 324.36 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 705.12 = 324.36 : x
  2. Step 2: Convert to fraction form
    510.78/705.12 = 324.36/x
  3. Step 3: Cross multiply
    510.78x = 705.12 × 324.36
  4. Step 4: Simplify right side
    510.78x = 228,712.72
  5. Step 5: Solve for x
    x = 228,712.72/510.78
  6. Step 6: Final answer
    x = 447.77

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Double scale
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Similar ratio
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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.