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Finding the Fourth Proportional to 1,118.70, 1,677.84 and 469.44

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Solution

The fourth proportional to 1,118.70, 1,677.84 and 469.44 is: 704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.70 : 1,677.84 = 469.44 : x
  2. Step 2: Convert to fraction form
    1,118.70/1,677.84 = 469.44/x
  3. Step 3: Cross multiply
    1,118.70x = 1,677.84 × 469.44
  4. Step 4: Simplify right side
    1,118.70x = 787,645.21
  5. Step 5: Solve for x
    x = 787,645.21/1,118.70
  6. Step 6: Final answer
    x = 704.07

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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.