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Finding the Fourth Proportional to 767.06, 1,057.94 and 678.64

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Solution

The fourth proportional to 767.06, 1,057.94 and 678.64 is: 935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.06 : 1,057.94 = 678.64 : x
  2. Step 2: Convert to fraction form
    767.06/1,057.94 = 678.64/x
  3. Step 3: Cross multiply
    767.06x = 1,057.94 × 678.64
  4. Step 4: Simplify right side
    767.06x = 717,960.40
  5. Step 5: Solve for x
    x = 717,960.40/767.06
  6. Step 6: Final answer
    x = 935.99

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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.