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Finding the Fourth Proportional to 510.73, 763.47 and 379.51

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Solution

The fourth proportional to 510.73, 763.47 and 379.51 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.73 : 763.47 = 379.51 : x
  2. Step 2: Convert to fraction form
    510.73/763.47 = 379.51/x
  3. Step 3: Cross multiply
    510.73x = 763.47 × 379.51
  4. Step 4: Simplify right side
    510.73x = 289,744.50
  5. Step 5: Solve for x
    x = 289,744.50/510.73
  6. Step 6: Final answer
    x = 567.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.