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Finding the Fourth Proportional to 471.40, 705.05 and 275.94

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Solution

The fourth proportional to 471.40, 705.05 and 275.94 is: 412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.40 : 705.05 = 275.94 : x
  2. Step 2: Convert to fraction form
    471.40/705.05 = 275.94/x
  3. Step 3: Cross multiply
    471.40x = 705.05 × 275.94
  4. Step 4: Simplify right side
    471.40x = 194,546.59
  5. Step 5: Solve for x
    x = 194,546.59/471.40
  6. Step 6: Final answer
    x = 412.70

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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.