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Finding the Fourth Proportional to 510.32, 764.02 and 301.48

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Solution

The fourth proportional to 510.32, 764.02 and 301.48 is: 451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.32 : 764.02 = 301.48 : x
  2. Step 2: Convert to fraction form
    510.32/764.02 = 301.48/x
  3. Step 3: Cross multiply
    510.32x = 764.02 × 301.48
  4. Step 4: Simplify right side
    510.32x = 230,336.75
  5. Step 5: Solve for x
    x = 230,336.75/510.32
  6. Step 6: Final answer
    x = 451.36

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.