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Finding the Fourth Proportional to 510.73, 765.13 and 441.47

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Solution

The fourth proportional to 510.73, 765.13 and 441.47 is: 661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 765.13 = 441.47 : x
  2. Step 2: Convert to fraction form
    510.73/765.13 = 441.47/x
  3. Step 3: Cross multiply
    510.73x = 765.13 × 441.47
  4. Step 4: Simplify right side
    510.73x = 337,781.94
  5. Step 5: Solve for x
    x = 337,781.94/510.73
  6. Step 6: Final answer
    x = 661.37

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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.