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Finding the Fourth Proportional to 1,189.83, 1,785.05 and 459.21

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Solution

The fourth proportional to 1,189.83, 1,785.05 and 459.21 is: 688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.83 : 1,785.05 = 459.21 : x
  2. Step 2: Convert to fraction form
    1,189.83/1,785.05 = 459.21/x
  3. Step 3: Cross multiply
    1,189.83x = 1,785.05 × 459.21
  4. Step 4: Simplify right side
    1,189.83x = 819,712.81
  5. Step 5: Solve for x
    x = 819,712.81/1,189.83
  6. Step 6: Final answer
    x = 688.93

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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.