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Finding the Fourth Proportional to 601.26, 830.16 and 377.30

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Solution

The fourth proportional to 601.26, 830.16 and 377.30 is: 520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 830.16 = 377.30 : x
  2. Step 2: Convert to fraction form
    601.26/830.16 = 377.30/x
  3. Step 3: Cross multiply
    601.26x = 830.16 × 377.30
  4. Step 4: Simplify right side
    601.26x = 313,219.37
  5. Step 5: Solve for x
    x = 313,219.37/601.26
  6. Step 6: Final answer
    x = 520.94

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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.