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Finding the Fourth Proportional to 678.31, 1,016.63 and 386.06

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Solution

The fourth proportional to 678.31, 1,016.63 and 386.06 is: 578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.31 : 1,016.63 = 386.06 : x
  2. Step 2: Convert to fraction form
    678.31/1,016.63 = 386.06/x
  3. Step 3: Cross multiply
    678.31x = 1,016.63 × 386.06
  4. Step 4: Simplify right side
    678.31x = 392,474.61
  5. Step 5: Solve for x
    x = 392,474.61/678.31
  6. Step 6: Final answer
    x = 578.61

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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.