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Finding the Fourth Proportional to 859.56, 1,186.17 and 466.58

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Solution

The fourth proportional to 859.56, 1,186.17 and 466.58 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.56 : 1,186.17 = 466.58 : x
  2. Step 2: Convert to fraction form
    859.56/1,186.17 = 466.58/x
  3. Step 3: Cross multiply
    859.56x = 1,186.17 × 466.58
  4. Step 4: Simplify right side
    859.56x = 553,437.27
  5. Step 5: Solve for x
    x = 553,437.27/859.56
  6. Step 6: Final answer
    x = 643.86

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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.