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Finding the Fourth Proportional to 678.55, 1,016.16 and 612.81

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Solution

The fourth proportional to 678.55, 1,016.16 and 612.81 is: 917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.55 : 1,016.16 = 612.81 : x
  2. Step 2: Convert to fraction form
    678.55/1,016.16 = 612.81/x
  3. Step 3: Cross multiply
    678.55x = 1,016.16 × 612.81
  4. Step 4: Simplify right side
    678.55x = 622,707.93
  5. Step 5: Solve for x
    x = 622,707.93/678.55
  6. Step 6: Final answer
    x = 917.71

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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.