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Finding the Fourth Proportional to 675.33, 1,012.86 and 428.55

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Solution

The fourth proportional to 675.33, 1,012.86 and 428.55 is: 642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.33 : 1,012.86 = 428.55 : x
  2. Step 2: Convert to fraction form
    675.33/1,012.86 = 428.55/x
  3. Step 3: Cross multiply
    675.33x = 1,012.86 × 428.55
  4. Step 4: Simplify right side
    675.33x = 434,061.15
  5. Step 5: Solve for x
    x = 434,061.15/675.33
  6. Step 6: Final answer
    x = 642.74

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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.