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Finding the Fourth Proportional to 859.76, 1,186.46 and 466.78

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Solution

The fourth proportional to 859.76, 1,186.46 and 466.78 is: 644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.76 : 1,186.46 = 466.78 : x
  2. Step 2: Convert to fraction form
    859.76/1,186.46 = 466.78/x
  3. Step 3: Cross multiply
    859.76x = 1,186.46 × 466.78
  4. Step 4: Simplify right side
    859.76x = 553,813.46
  5. Step 5: Solve for x
    x = 553,813.46/859.76
  6. Step 6: Final answer
    x = 644.15

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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.