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Finding the Fourth Proportional to 510.15, 699.74 and 480.38

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Solution

The fourth proportional to 510.15, 699.74 and 480.38 is: 658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.15 : 699.74 = 480.38 : x
  2. Step 2: Convert to fraction form
    510.15/699.74 = 480.38/x
  3. Step 3: Cross multiply
    510.15x = 699.74 × 480.38
  4. Step 4: Simplify right side
    510.15x = 336,140.94
  5. Step 5: Solve for x
    x = 336,140.94/510.15
  6. Step 6: Final answer
    x = 658.91

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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.