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Finding the Fourth Proportional to 859.87, 1,186.62 and 466.90

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Solution

The fourth proportional to 859.87, 1,186.62 and 466.90 is: 644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.87 : 1,186.62 = 466.90 : x
  2. Step 2: Convert to fraction form
    859.87/1,186.62 = 466.90/x
  3. Step 3: Cross multiply
    859.87x = 1,186.62 × 466.90
  4. Step 4: Simplify right side
    859.87x = 554,026.94
  5. Step 5: Solve for x
    x = 554,026.94/859.87
  6. Step 6: Final answer
    x = 644.31

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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.