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Finding the Fourth Proportional to 1,005.78, 1,508.94 and 518.70

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Solution

The fourth proportional to 1,005.78, 1,508.94 and 518.70 is: 778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.78 : 1,508.94 = 518.70 : x
  2. Step 2: Convert to fraction form
    1,005.78/1,508.94 = 518.70/x
  3. Step 3: Cross multiply
    1,005.78x = 1,508.94 × 518.70
  4. Step 4: Simplify right side
    1,005.78x = 782,687.18
  5. Step 5: Solve for x
    x = 782,687.18/1,005.78
  6. Step 6: Final answer
    x = 778.19

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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.