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Finding the Fourth Proportional to 984.05, 1,475.65 and 573.47

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Solution

The fourth proportional to 984.05, 1,475.65 and 573.47 is: 859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.05 : 1,475.65 = 573.47 : x
  2. Step 2: Convert to fraction form
    984.05/1,475.65 = 573.47/x
  3. Step 3: Cross multiply
    984.05x = 1,475.65 × 573.47
  4. Step 4: Simplify right side
    984.05x = 846,241.01
  5. Step 5: Solve for x
    x = 846,241.01/984.05
  6. Step 6: Final answer
    x = 859.96

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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.