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Finding the Fourth Proportional to 889.85, 1,227.35 and 771.62

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Solution

The fourth proportional to 889.85, 1,227.35 and 771.62 is: 1,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.85 : 1,227.35 = 771.62 : x
  2. Step 2: Convert to fraction form
    889.85/1,227.35 = 771.62/x
  3. Step 3: Cross multiply
    889.85x = 1,227.35 × 771.62
  4. Step 4: Simplify right side
    889.85x = 947,037.81
  5. Step 5: Solve for x
    x = 947,037.81/889.85
  6. Step 6: Final answer
    x = 1,064.27

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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.