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Finding the Fourth Proportional to 678.41, 1,011.57 and 677.12

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Solution

The fourth proportional to 678.41, 1,011.57 and 677.12 is: 1,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.41 : 1,011.57 = 677.12 : x
  2. Step 2: Convert to fraction form
    678.41/1,011.57 = 677.12/x
  3. Step 3: Cross multiply
    678.41x = 1,011.57 × 677.12
  4. Step 4: Simplify right side
    678.41x = 684,954.28
  5. Step 5: Solve for x
    x = 684,954.28/678.41
  6. Step 6: Final answer
    x = 1,009.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.