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Finding the Fourth Proportional to 510.60, 765.89 and 279.44

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Solution

The fourth proportional to 510.60, 765.89 and 279.44 is: 419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 765.89 = 279.44 : x
  2. Step 2: Convert to fraction form
    510.60/765.89 = 279.44/x
  3. Step 3: Cross multiply
    510.60x = 765.89 × 279.44
  4. Step 4: Simplify right side
    510.60x = 214,015.07
  5. Step 5: Solve for x
    x = 214,015.07/510.60
  6. Step 6: Final answer
    x = 419.14

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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.