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Finding the Fourth Proportional to 472.06, 650.78 and 393.08

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Solution

The fourth proportional to 472.06, 650.78 and 393.08 is: 541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 650.78 = 393.08 : x
  2. Step 2: Convert to fraction form
    472.06/650.78 = 393.08/x
  3. Step 3: Cross multiply
    472.06x = 650.78 × 393.08
  4. Step 4: Simplify right side
    472.06x = 255,808.60
  5. Step 5: Solve for x
    x = 255,808.60/472.06
  6. Step 6: Final answer
    x = 541.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.