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Finding the Fourth Proportional to 859.13, 1,185.60 and 486.11

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Solution

The fourth proportional to 859.13, 1,185.60 and 486.11 is: 670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.13 : 1,185.60 = 486.11 : x
  2. Step 2: Convert to fraction form
    859.13/1,185.60 = 486.11/x
  3. Step 3: Cross multiply
    859.13x = 1,185.60 × 486.11
  4. Step 4: Simplify right side
    859.13x = 576,332.02
  5. Step 5: Solve for x
    x = 576,332.02/859.13
  6. Step 6: Final answer
    x = 670.83

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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.