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Finding the Fourth Proportional to 889.22, 1,333.86 and 499.16

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Solution

The fourth proportional to 889.22, 1,333.86 and 499.16 is: 748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.22 : 1,333.86 = 499.16 : x
  2. Step 2: Convert to fraction form
    889.22/1,333.86 = 499.16/x
  3. Step 3: Cross multiply
    889.22x = 1,333.86 × 499.16
  4. Step 4: Simplify right side
    889.22x = 665,809.56
  5. Step 5: Solve for x
    x = 665,809.56/889.22
  6. Step 6: Final answer
    x = 748.76

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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.