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Finding the Fourth Proportional to 678.63, 1,018.00 and 191.72

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Solution

The fourth proportional to 678.63, 1,018.00 and 191.72 is: 287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.63 : 1,018.00 = 191.72 : x
  2. Step 2: Convert to fraction form
    678.63/1,018.00 = 191.72/x
  3. Step 3: Cross multiply
    678.63x = 1,018.00 × 191.72
  4. Step 4: Simplify right side
    678.63x = 195,173.74
  5. Step 5: Solve for x
    x = 195,173.74/678.63
  6. Step 6: Final answer
    x = 287.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.