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Finding the Fourth Proportional to 660.58, 911.63 and 376.95

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Solution

The fourth proportional to 660.58, 911.63 and 376.95 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.58 : 911.63 = 376.95 : x
  2. Step 2: Convert to fraction form
    660.58/911.63 = 376.95/x
  3. Step 3: Cross multiply
    660.58x = 911.63 × 376.95
  4. Step 4: Simplify right side
    660.58x = 343,642.23
  5. Step 5: Solve for x
    x = 343,642.23/660.58
  6. Step 6: Final answer
    x = 520.21

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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.