Home / 1,004.37-1,509.27-517.78

Finding the Fourth Proportional to 1,004.37, 1,509.27 and 517.78

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Solution

The fourth proportional to 1,004.37, 1,509.27 and 517.78 is: 778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.37 : 1,509.27 = 517.78 : x
  2. Step 2: Convert to fraction form
    1,004.37/1,509.27 = 517.78/x
  3. Step 3: Cross multiply
    1,004.37x = 1,509.27 × 517.78
  4. Step 4: Simplify right side
    1,004.37x = 781,469.82
  5. Step 5: Solve for x
    x = 781,469.82/1,004.37
  6. Step 6: Final answer
    x = 778.07

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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.