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Finding the Fourth Proportional to 1,189.88, 1,785.12 and 459.51

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Solution

The fourth proportional to 1,189.88, 1,785.12 and 459.51 is: 689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.88 : 1,785.12 = 459.51 : x
  2. Step 2: Convert to fraction form
    1,189.88/1,785.12 = 459.51/x
  3. Step 3: Cross multiply
    1,189.88x = 1,785.12 × 459.51
  4. Step 4: Simplify right side
    1,189.88x = 820,280.49
  5. Step 5: Solve for x
    x = 820,280.49/1,189.88
  6. Step 6: Final answer
    x = 689.38

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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.