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Finding the Fourth Proportional to 859.25, 1,185.77 and 466.28

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Solution

The fourth proportional to 859.25, 1,185.77 and 466.28 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.25 : 1,185.77 = 466.28 : x
  2. Step 2: Convert to fraction form
    859.25/1,185.77 = 466.28/x
  3. Step 3: Cross multiply
    859.25x = 1,185.77 × 466.28
  4. Step 4: Simplify right side
    859.25x = 552,900.84
  5. Step 5: Solve for x
    x = 552,900.84/859.25
  6. Step 6: Final answer
    x = 643.47

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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.