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Finding the Fourth Proportional to 1,189.84, 1,785.21 and 459.46

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Solution

The fourth proportional to 1,189.84, 1,785.21 and 459.46 is: 689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.84 : 1,785.21 = 459.46 : x
  2. Step 2: Convert to fraction form
    1,189.84/1,785.21 = 459.46/x
  3. Step 3: Cross multiply
    1,189.84x = 1,785.21 × 459.46
  4. Step 4: Simplify right side
    1,189.84x = 820,232.59
  5. Step 5: Solve for x
    x = 820,232.59/1,189.84
  6. Step 6: Final answer
    x = 689.36

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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.