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Finding the Fourth Proportional to 1,006.78, 1,510.99 and 519.97

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Solution

The fourth proportional to 1,006.78, 1,510.99 and 519.97 is: 780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.78 : 1,510.99 = 519.97 : x
  2. Step 2: Convert to fraction form
    1,006.78/1,510.99 = 519.97/x
  3. Step 3: Cross multiply
    1,006.78x = 1,510.99 × 519.97
  4. Step 4: Simplify right side
    1,006.78x = 785,664.39
  5. Step 5: Solve for x
    x = 785,664.39/1,006.78
  6. Step 6: Final answer
    x = 780.38

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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.