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Finding the Fourth Proportional to 675.46, 1,013.26 and 328.88

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Solution

The fourth proportional to 675.46, 1,013.26 and 328.88 is: 493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.46 : 1,013.26 = 328.88 : x
  2. Step 2: Convert to fraction form
    675.46/1,013.26 = 328.88/x
  3. Step 3: Cross multiply
    675.46x = 1,013.26 × 328.88
  4. Step 4: Simplify right side
    675.46x = 333,240.95
  5. Step 5: Solve for x
    x = 333,240.95/675.46
  6. Step 6: Final answer
    x = 493.35

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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.