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Finding the Fourth Proportional to 675.79, 1,013.83 and 383.43

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Solution

The fourth proportional to 675.79, 1,013.83 and 383.43 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.79 : 1,013.83 = 383.43 : x
  2. Step 2: Convert to fraction form
    675.79/1,013.83 = 383.43/x
  3. Step 3: Cross multiply
    675.79x = 1,013.83 × 383.43
  4. Step 4: Simplify right side
    675.79x = 388,732.84
  5. Step 5: Solve for x
    x = 388,732.84/675.79
  6. Step 6: Final answer
    x = 575.23

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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.