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Finding the Fourth Proportional to 675.47, 1,012.80 and 328.12

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Solution

The fourth proportional to 675.47, 1,012.80 and 328.12 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.47 : 1,012.80 = 328.12 : x
  2. Step 2: Convert to fraction form
    675.47/1,012.80 = 328.12/x
  3. Step 3: Cross multiply
    675.47x = 1,012.80 × 328.12
  4. Step 4: Simplify right side
    675.47x = 332,319.94
  5. Step 5: Solve for x
    x = 332,319.94/675.47
  6. Step 6: Final answer
    x = 491.98

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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.