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Finding the Fourth Proportional to 1,369.90, 2,054.31 and 504.01

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Solution

The fourth proportional to 1,369.90, 2,054.31 and 504.01 is: 755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.90 : 2,054.31 = 504.01 : x
  2. Step 2: Convert to fraction form
    1,369.90/2,054.31 = 504.01/x
  3. Step 3: Cross multiply
    1,369.90x = 2,054.31 × 504.01
  4. Step 4: Simplify right side
    1,369.90x = 1,035,392.78
  5. Step 5: Solve for x
    x = 1,035,392.78/1,369.90
  6. Step 6: Final answer
    x = 755.82

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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.