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Finding the Fourth Proportional to 675.50, 1,013.52 and 328.82

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Solution

The fourth proportional to 675.50, 1,013.52 and 328.82 is: 493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.50 : 1,013.52 = 328.82 : x
  2. Step 2: Convert to fraction form
    675.50/1,013.52 = 328.82/x
  3. Step 3: Cross multiply
    675.50x = 1,013.52 × 328.82
  4. Step 4: Simplify right side
    675.50x = 333,265.65
  5. Step 5: Solve for x
    x = 333,265.65/675.50
  6. Step 6: Final answer
    x = 493.36

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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.