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Finding the Fourth Proportional to 471.09, 706.50 and 262.77

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Solution

The fourth proportional to 471.09, 706.50 and 262.77 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.09 : 706.50 = 262.77 : x
  2. Step 2: Convert to fraction form
    471.09/706.50 = 262.77/x
  3. Step 3: Cross multiply
    471.09x = 706.50 × 262.77
  4. Step 4: Simplify right side
    471.09x = 185,647.01
  5. Step 5: Solve for x
    x = 185,647.01/471.09
  6. Step 6: Final answer
    x = 394.08

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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.