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Finding the Fourth Proportional to 859.16, 1,185.57 and 486.05

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Solution

The fourth proportional to 859.16, 1,185.57 and 486.05 is: 670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,185.57 = 486.05 : x
  2. Step 2: Convert to fraction form
    859.16/1,185.57 = 486.05/x
  3. Step 3: Cross multiply
    859.16x = 1,185.57 × 486.05
  4. Step 4: Simplify right side
    859.16x = 576,251.49
  5. Step 5: Solve for x
    x = 576,251.49/859.16
  6. Step 6: Final answer
    x = 670.71

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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.