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Finding the Fourth Proportional to 1,189.21, 1,782.91 and 459.40

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Solution

The fourth proportional to 1,189.21, 1,782.91 and 459.40 is: 688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.21 : 1,782.91 = 459.40 : x
  2. Step 2: Convert to fraction form
    1,189.21/1,782.91 = 459.40/x
  3. Step 3: Cross multiply
    1,189.21x = 1,782.91 × 459.40
  4. Step 4: Simplify right side
    1,189.21x = 819,068.85
  5. Step 5: Solve for x
    x = 819,068.85/1,189.21
  6. Step 6: Final answer
    x = 688.75

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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.