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Finding the Fourth Proportional to 601.36, 901.64 and 519.09

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Solution

The fourth proportional to 601.36, 901.64 and 519.09 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.36 : 901.64 = 519.09 : x
  2. Step 2: Convert to fraction form
    601.36/901.64 = 519.09/x
  3. Step 3: Cross multiply
    601.36x = 901.64 × 519.09
  4. Step 4: Simplify right side
    601.36x = 468,025.20
  5. Step 5: Solve for x
    x = 468,025.20/601.36
  6. Step 6: Final answer
    x = 778.28

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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.