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Finding the Fourth Proportional to 510.10, 764.54 and 263.42

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Solution

The fourth proportional to 510.10, 764.54 and 263.42 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 764.54 = 263.42 : x
  2. Step 2: Convert to fraction form
    510.10/764.54 = 263.42/x
  3. Step 3: Cross multiply
    510.10x = 764.54 × 263.42
  4. Step 4: Simplify right side
    510.10x = 201,395.13
  5. Step 5: Solve for x
    x = 201,395.13/510.10
  6. Step 6: Final answer
    x = 394.81

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