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Finding the Fourth Proportional to 859.43, 1,185.98 and 466.44

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Solution

The fourth proportional to 859.43, 1,185.98 and 466.44 is: 643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.43 : 1,185.98 = 466.44 : x
  2. Step 2: Convert to fraction form
    859.43/1,185.98 = 466.44/x
  3. Step 3: Cross multiply
    859.43x = 1,185.98 × 466.44
  4. Step 4: Simplify right side
    859.43x = 553,186.18
  5. Step 5: Solve for x
    x = 553,186.18/859.43
  6. Step 6: Final answer
    x = 643.67

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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.