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Finding the Fourth Proportional to 1,189.45, 1,784.31 and 458.92

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Solution

The fourth proportional to 1,189.45, 1,784.31 and 458.92 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.45 : 1,784.31 = 458.92 : x
  2. Step 2: Convert to fraction form
    1,189.45/1,784.31 = 458.92/x
  3. Step 3: Cross multiply
    1,189.45x = 1,784.31 × 458.92
  4. Step 4: Simplify right side
    1,189.45x = 818,855.55
  5. Step 5: Solve for x
    x = 818,855.55/1,189.45
  6. Step 6: Final answer
    x = 688.43

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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.