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Finding the Fourth Proportional to 510.42, 765.10 and 290.78

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Solution

The fourth proportional to 510.42, 765.10 and 290.78 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 765.10 = 290.78 : x
  2. Step 2: Convert to fraction form
    510.42/765.10 = 290.78/x
  3. Step 3: Cross multiply
    510.42x = 765.10 × 290.78
  4. Step 4: Simplify right side
    510.42x = 222,475.78
  5. Step 5: Solve for x
    x = 222,475.78/510.42
  6. Step 6: Final answer
    x = 435.87

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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.