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Finding the Fourth Proportional to 510.93, 699.80 and 481.01

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Solution

The fourth proportional to 510.93, 699.80 and 481.01 is: 658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 699.80 = 481.01 : x
  2. Step 2: Convert to fraction form
    510.93/699.80 = 481.01/x
  3. Step 3: Cross multiply
    510.93x = 699.80 × 481.01
  4. Step 4: Simplify right side
    510.93x = 336,610.80
  5. Step 5: Solve for x
    x = 336,610.80/510.93
  6. Step 6: Final answer
    x = 658.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.