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Finding the Fourth Proportional to 510.74, 761.09 and 494.21

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Solution

The fourth proportional to 510.74, 761.09 and 494.21 is: 736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.74 : 761.09 = 494.21 : x
  2. Step 2: Convert to fraction form
    510.74/761.09 = 494.21/x
  3. Step 3: Cross multiply
    510.74x = 761.09 × 494.21
  4. Step 4: Simplify right side
    510.74x = 376,132.01
  5. Step 5: Solve for x
    x = 376,132.01/510.74
  6. Step 6: Final answer
    x = 736.45

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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.