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Finding the Fourth Proportional to 1,737.37, 2,606.06 and 504.78

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Solution

The fourth proportional to 1,737.37, 2,606.06 and 504.78 is: 757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.37 : 2,606.06 = 504.78 : x
  2. Step 2: Convert to fraction form
    1,737.37/2,606.06 = 504.78/x
  3. Step 3: Cross multiply
    1,737.37x = 2,606.06 × 504.78
  4. Step 4: Simplify right side
    1,737.37x = 1,315,490.28
  5. Step 5: Solve for x
    x = 1,315,490.28/1,737.37
  6. Step 6: Final answer
    x = 757.18

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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.