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Finding the Fourth Proportional to 474.44, 708.44 and 405.86

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Solution

The fourth proportional to 474.44, 708.44 and 405.86 is: 606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 708.44 = 405.86 : x
  2. Step 2: Convert to fraction form
    474.44/708.44 = 405.86/x
  3. Step 3: Cross multiply
    474.44x = 708.44 × 405.86
  4. Step 4: Simplify right side
    474.44x = 287,521.89
  5. Step 5: Solve for x
    x = 287,521.89/474.44
  6. Step 6: Final answer
    x = 606.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.