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Finding the Fourth Proportional to 1,119.60, 1,678.99 and 469.98

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Solution

The fourth proportional to 1,119.60, 1,678.99 and 469.98 is: 704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.60 : 1,678.99 = 469.98 : x
  2. Step 2: Convert to fraction form
    1,119.60/1,678.99 = 469.98/x
  3. Step 3: Cross multiply
    1,119.60x = 1,678.99 × 469.98
  4. Step 4: Simplify right side
    1,119.60x = 789,091.72
  5. Step 5: Solve for x
    x = 789,091.72/1,119.60
  6. Step 6: Final answer
    x = 704.80

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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.