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Finding the Fourth Proportional to 601.49, 828.77 and 404.66

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Solution

The fourth proportional to 601.49, 828.77 and 404.66 is: 557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 828.77 = 404.66 : x
  2. Step 2: Convert to fraction form
    601.49/828.77 = 404.66/x
  3. Step 3: Cross multiply
    601.49x = 828.77 × 404.66
  4. Step 4: Simplify right side
    601.49x = 335,370.07
  5. Step 5: Solve for x
    x = 335,370.07/601.49
  6. Step 6: Final answer
    x = 557.57

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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.