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Finding the Fourth Proportional to 471.77, 707.58 and 228.23

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Solution

The fourth proportional to 471.77, 707.58 and 228.23 is: 342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.77 : 707.58 = 228.23 : x
  2. Step 2: Convert to fraction form
    471.77/707.58 = 228.23/x
  3. Step 3: Cross multiply
    471.77x = 707.58 × 228.23
  4. Step 4: Simplify right side
    471.77x = 161,490.98
  5. Step 5: Solve for x
    x = 161,490.98/471.77
  6. Step 6: Final answer
    x = 342.31

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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.