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Finding the Fourth Proportional to 859.06, 1,184.79 and 596.89

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Solution

The fourth proportional to 859.06, 1,184.79 and 596.89 is: 823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.06 : 1,184.79 = 596.89 : x
  2. Step 2: Convert to fraction form
    859.06/1,184.79 = 596.89/x
  3. Step 3: Cross multiply
    859.06x = 1,184.79 × 596.89
  4. Step 4: Simplify right side
    859.06x = 707,189.30
  5. Step 5: Solve for x
    x = 707,189.30/859.06
  6. Step 6: Final answer
    x = 823.21

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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.