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Finding the Fourth Proportional to 471.35, 705.63 and 350.15

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Solution

The fourth proportional to 471.35, 705.63 and 350.15 is: 524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.35 : 705.63 = 350.15 : x
  2. Step 2: Convert to fraction form
    471.35/705.63 = 350.15/x
  3. Step 3: Cross multiply
    471.35x = 705.63 × 350.15
  4. Step 4: Simplify right side
    471.35x = 247,076.34
  5. Step 5: Solve for x
    x = 247,076.34/471.35
  6. Step 6: Final answer
    x = 524.19

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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.