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Finding the Fourth Proportional to 984.29, 1,475.96 and 573.57

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Solution

The fourth proportional to 984.29, 1,475.96 and 573.57 is: 860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.29 : 1,475.96 = 573.57 : x
  2. Step 2: Convert to fraction form
    984.29/1,475.96 = 573.57/x
  3. Step 3: Cross multiply
    984.29x = 1,475.96 × 573.57
  4. Step 4: Simplify right side
    984.29x = 846,563.51
  5. Step 5: Solve for x
    x = 846,563.51/984.29
  6. Step 6: Final answer
    x = 860.08

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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.