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Finding the Fourth Proportional to 510.78, 704.79 and 333.66

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Solution

The fourth proportional to 510.78, 704.79 and 333.66 is: 460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.78 : 704.79 = 333.66 : x
  2. Step 2: Convert to fraction form
    510.78/704.79 = 333.66/x
  3. Step 3: Cross multiply
    510.78x = 704.79 × 333.66
  4. Step 4: Simplify right side
    510.78x = 235,160.23
  5. Step 5: Solve for x
    x = 235,160.23/510.78
  6. Step 6: Final answer
    x = 460.39

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Find fourth proportional to 255.39, 352.40 and 166.83
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Double scale
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Similar ratio
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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.