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Finding the Fourth Proportional to 1,119.23, 1,678.23 and 599.84

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Solution

The fourth proportional to 1,119.23, 1,678.23 and 599.84 is: 899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.23 : 1,678.23 = 599.84 : x
  2. Step 2: Convert to fraction form
    1,119.23/1,678.23 = 599.84/x
  3. Step 3: Cross multiply
    1,119.23x = 1,678.23 × 599.84
  4. Step 4: Simplify right side
    1,119.23x = 1,006,669.48
  5. Step 5: Solve for x
    x = 1,006,669.48/1,119.23
  6. Step 6: Final answer
    x = 899.43

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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.