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Finding the Fourth Proportional to 1,239.56, 1,859.26 and 470.04

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Solution

The fourth proportional to 1,239.56, 1,859.26 and 470.04 is: 705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.56 : 1,859.26 = 470.04 : x
  2. Step 2: Convert to fraction form
    1,239.56/1,859.26 = 470.04/x
  3. Step 3: Cross multiply
    1,239.56x = 1,859.26 × 470.04
  4. Step 4: Simplify right side
    1,239.56x = 873,926.57
  5. Step 5: Solve for x
    x = 873,926.57/1,239.56
  6. Step 6: Final answer
    x = 705.03

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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.