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Finding the Fourth Proportional to 675.92, 1,007.38 and 674.84

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Solution

The fourth proportional to 675.92, 1,007.38 and 674.84 is: 1,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 1,007.38 = 674.84 : x
  2. Step 2: Convert to fraction form
    675.92/1,007.38 = 674.84/x
  3. Step 3: Cross multiply
    675.92x = 1,007.38 × 674.84
  4. Step 4: Simplify right side
    675.92x = 679,820.32
  5. Step 5: Solve for x
    x = 679,820.32/675.92
  6. Step 6: Final answer
    x = 1,005.77

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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.