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Finding the Fourth Proportional to 889.19, 1,226.53 and 640.12

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Solution

The fourth proportional to 889.19, 1,226.53 and 640.12 is: 882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.19 : 1,226.53 = 640.12 : x
  2. Step 2: Convert to fraction form
    889.19/1,226.53 = 640.12/x
  3. Step 3: Cross multiply
    889.19x = 1,226.53 × 640.12
  4. Step 4: Simplify right side
    889.19x = 785,124.12
  5. Step 5: Solve for x
    x = 785,124.12/889.19
  6. Step 6: Final answer
    x = 882.96

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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.