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Finding the Fourth Proportional to 984.76, 1,476.30 and 675.85

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Solution

The fourth proportional to 984.76, 1,476.30 and 675.85 is: 1,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.76 : 1,476.30 = 675.85 : x
  2. Step 2: Convert to fraction form
    984.76/1,476.30 = 675.85/x
  3. Step 3: Cross multiply
    984.76x = 1,476.30 × 675.85
  4. Step 4: Simplify right side
    984.76x = 997,757.36
  5. Step 5: Solve for x
    x = 997,757.36/984.76
  6. Step 6: Final answer
    x = 1,013.20

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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.