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Finding the Fourth Proportional to 601.16, 828.43 and 401.76

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Solution

The fourth proportional to 601.16, 828.43 and 401.76 is: 553.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.16 : 828.43 = 401.76 : x
  2. Step 2: Convert to fraction form
    601.16/828.43 = 401.76/x
  3. Step 3: Cross multiply
    601.16x = 828.43 × 401.76
  4. Step 4: Simplify right side
    601.16x = 332,829.03
  5. Step 5: Solve for x
    x = 332,829.03/601.16
  6. Step 6: Final answer
    x = 553.65

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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.