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Finding the Fourth Proportional to 984.98, 1,478.34 and 573.55

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Solution

The fourth proportional to 984.98, 1,478.34 and 573.55 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.98 : 1,478.34 = 573.55 : x
  2. Step 2: Convert to fraction form
    984.98/1,478.34 = 573.55/x
  3. Step 3: Cross multiply
    984.98x = 1,478.34 × 573.55
  4. Step 4: Simplify right side
    984.98x = 847,898.21
  5. Step 5: Solve for x
    x = 847,898.21/984.98
  6. Step 6: Final answer
    x = 860.83

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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.