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Finding the Fourth Proportional to 474.58, 708.20 and 419.91

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Solution

The fourth proportional to 474.58, 708.20 and 419.91 is: 626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.58 : 708.20 = 419.91 : x
  2. Step 2: Convert to fraction form
    474.58/708.20 = 419.91/x
  3. Step 3: Cross multiply
    474.58x = 708.20 × 419.91
  4. Step 4: Simplify right side
    474.58x = 297,374.62
  5. Step 5: Solve for x
    x = 297,374.62/474.58
  6. Step 6: Final answer
    x = 626.61

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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.