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Finding the Fourth Proportional to 510.17, 764.55 and 279.11

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Solution

The fourth proportional to 510.17, 764.55 and 279.11 is: 418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.17 : 764.55 = 279.11 : x
  2. Step 2: Convert to fraction form
    510.17/764.55 = 279.11/x
  3. Step 3: Cross multiply
    510.17x = 764.55 × 279.11
  4. Step 4: Simplify right side
    510.17x = 213,389.73
  5. Step 5: Solve for x
    x = 213,389.73/510.17
  6. Step 6: Final answer
    x = 418.28

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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.