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Finding the Fourth Proportional to 1,005.86, 1,509.51 and 518.78

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Solution

The fourth proportional to 1,005.86, 1,509.51 and 518.78 is: 778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.86 : 1,509.51 = 518.78 : x
  2. Step 2: Convert to fraction form
    1,005.86/1,509.51 = 518.78/x
  3. Step 3: Cross multiply
    1,005.86x = 1,509.51 × 518.78
  4. Step 4: Simplify right side
    1,005.86x = 783,103.60
  5. Step 5: Solve for x
    x = 783,103.60/1,005.86
  6. Step 6: Final answer
    x = 778.54

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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.