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Finding the Fourth Proportional to 889.89, 1,228.10 and 496.91

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Solution

The fourth proportional to 889.89, 1,228.10 and 496.91 is: 685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.89 : 1,228.10 = 496.91 : x
  2. Step 2: Convert to fraction form
    889.89/1,228.10 = 496.91/x
  3. Step 3: Cross multiply
    889.89x = 1,228.10 × 496.91
  4. Step 4: Simplify right side
    889.89x = 610,246.55
  5. Step 5: Solve for x
    x = 610,246.55/889.89
  6. Step 6: Final answer
    x = 685.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.