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Finding the Fourth Proportional to 1,553.42, 2,143.80 and 890.64

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Solution

The fourth proportional to 1,553.42, 2,143.80 and 890.64 is: 1,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.42 : 2,143.80 = 890.64 : x
  2. Step 2: Convert to fraction form
    1,553.42/2,143.80 = 890.64/x
  3. Step 3: Cross multiply
    1,553.42x = 2,143.80 × 890.64
  4. Step 4: Simplify right side
    1,553.42x = 1,909,354.03
  5. Step 5: Solve for x
    x = 1,909,354.03/1,553.42
  6. Step 6: Final answer
    x = 1,229.13

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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.