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Finding the Fourth Proportional to 472.77, 709.02 and 228.83

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Solution

The fourth proportional to 472.77, 709.02 and 228.83 is: 343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 709.02 = 228.83 : x
  2. Step 2: Convert to fraction form
    472.77/709.02 = 228.83/x
  3. Step 3: Cross multiply
    472.77x = 709.02 × 228.83
  4. Step 4: Simplify right side
    472.77x = 162,241.50
  5. Step 5: Solve for x
    x = 162,241.50/472.77
  6. Step 6: Final answer
    x = 343.17

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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.