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Finding the Fourth Proportional to 859.63, 1,186.28 and 466.66

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Solution

The fourth proportional to 859.63, 1,186.28 and 466.66 is: 643.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.63 : 1,186.28 = 466.66 : x
  2. Step 2: Convert to fraction form
    859.63/1,186.28 = 466.66/x
  3. Step 3: Cross multiply
    859.63x = 1,186.28 × 466.66
  4. Step 4: Simplify right side
    859.63x = 553,589.42
  5. Step 5: Solve for x
    x = 553,589.42/859.63
  6. Step 6: Final answer
    x = 643.99

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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.