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Finding the Fourth Proportional to 859.80, 1,186.52 and 466.82

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Solution

The fourth proportional to 859.80, 1,186.52 and 466.82 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.80 : 1,186.52 = 466.82 : x
  2. Step 2: Convert to fraction form
    859.80/1,186.52 = 466.82/x
  3. Step 3: Cross multiply
    859.80x = 1,186.52 × 466.82
  4. Step 4: Simplify right side
    859.80x = 553,891.27
  5. Step 5: Solve for x
    x = 553,891.27/859.80
  6. Step 6: Final answer
    x = 644.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.