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Finding the Fourth Proportional to 510.57, 764.91 and 395.15

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Solution

The fourth proportional to 510.57, 764.91 and 395.15 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.57 : 764.91 = 395.15 : x
  2. Step 2: Convert to fraction form
    510.57/764.91 = 395.15/x
  3. Step 3: Cross multiply
    510.57x = 764.91 × 395.15
  4. Step 4: Simplify right side
    510.57x = 302,250.36
  5. Step 5: Solve for x
    x = 302,250.36/510.57
  6. Step 6: Final answer
    x = 591.99

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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.