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Finding the Fourth Proportional to 601.23, 830.82 and 453.60

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Solution

The fourth proportional to 601.23, 830.82 and 453.60 is: 626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.23 : 830.82 = 453.60 : x
  2. Step 2: Convert to fraction form
    601.23/830.82 = 453.60/x
  3. Step 3: Cross multiply
    601.23x = 830.82 × 453.60
  4. Step 4: Simplify right side
    601.23x = 376,859.95
  5. Step 5: Solve for x
    x = 376,859.95/601.23
  6. Step 6: Final answer
    x = 626.81

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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.