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Finding the Fourth Proportional to 1,650.37, 2,475.94 and 726.00

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Solution

The fourth proportional to 1,650.37, 2,475.94 and 726.00 is: 1,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.37 : 2,475.94 = 726.00 : x
  2. Step 2: Convert to fraction form
    1,650.37/2,475.94 = 726.00/x
  3. Step 3: Cross multiply
    1,650.37x = 2,475.94 × 726.00
  4. Step 4: Simplify right side
    1,650.37x = 1,797,522.62
  5. Step 5: Solve for x
    x = 1,797,522.62/1,650.37
  6. Step 6: Final answer
    x = 1,089.17

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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.