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Finding the Fourth Proportional to 984.06, 1,475.15 and 334.71

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Solution

The fourth proportional to 984.06, 1,475.15 and 334.71 is: 501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.06 : 1,475.15 = 334.71 : x
  2. Step 2: Convert to fraction form
    984.06/1,475.15 = 334.71/x
  3. Step 3: Cross multiply
    984.06x = 1,475.15 × 334.71
  4. Step 4: Simplify right side
    984.06x = 493,745.78
  5. Step 5: Solve for x
    x = 493,745.78/984.06
  6. Step 6: Final answer
    x = 501.74

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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.