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Finding the Fourth Proportional to 510.24, 765.96 and 347.43

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Solution

The fourth proportional to 510.24, 765.96 and 347.43 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.24 : 765.96 = 347.43 : x
  2. Step 2: Convert to fraction form
    510.24/765.96 = 347.43/x
  3. Step 3: Cross multiply
    510.24x = 765.96 × 347.43
  4. Step 4: Simplify right side
    510.24x = 266,117.48
  5. Step 5: Solve for x
    x = 266,117.48/510.24
  6. Step 6: Final answer
    x = 521.55

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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.