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Finding the Fourth Proportional to 859.24, 1,185.96 and 505.15

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Solution

The fourth proportional to 859.24, 1,185.96 and 505.15 is: 697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.24 : 1,185.96 = 505.15 : x
  2. Step 2: Convert to fraction form
    859.24/1,185.96 = 505.15/x
  3. Step 3: Cross multiply
    859.24x = 1,185.96 × 505.15
  4. Step 4: Simplify right side
    859.24x = 599,087.69
  5. Step 5: Solve for x
    x = 599,087.69/859.24
  6. Step 6: Final answer
    x = 697.23

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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.