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Finding the Fourth Proportional to 859.48, 1,185.50 and 720.29

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Solution

The fourth proportional to 859.48, 1,185.50 and 720.29 is: 993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.48 : 1,185.50 = 720.29 : x
  2. Step 2: Convert to fraction form
    859.48/1,185.50 = 720.29/x
  3. Step 3: Cross multiply
    859.48x = 1,185.50 × 720.29
  4. Step 4: Simplify right side
    859.48x = 853,908.56
  5. Step 5: Solve for x
    x = 853,908.56/859.48
  6. Step 6: Final answer
    x = 993.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.