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Finding the Fourth Proportional to 601.44, 828.88 and 426.72

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Solution

The fourth proportional to 601.44, 828.88 and 426.72 is: 588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.44 : 828.88 = 426.72 : x
  2. Step 2: Convert to fraction form
    601.44/828.88 = 426.72/x
  3. Step 3: Cross multiply
    601.44x = 828.88 × 426.72
  4. Step 4: Simplify right side
    601.44x = 353,699.67
  5. Step 5: Solve for x
    x = 353,699.67/601.44
  6. Step 6: Final answer
    x = 588.09

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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.