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Finding the Fourth Proportional to 1,421.78, 2,131.32 and 496.74

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Solution

The fourth proportional to 1,421.78, 2,131.32 and 496.74 is: 744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.78 : 2,131.32 = 496.74 : x
  2. Step 2: Convert to fraction form
    1,421.78/2,131.32 = 496.74/x
  3. Step 3: Cross multiply
    1,421.78x = 2,131.32 × 496.74
  4. Step 4: Simplify right side
    1,421.78x = 1,058,705.37
  5. Step 5: Solve for x
    x = 1,058,705.37/1,421.78
  6. Step 6: Final answer
    x = 744.63

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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.