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Finding the Fourth Proportional to 914.53, 1,370.82 and 365.95

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Solution

The fourth proportional to 914.53, 1,370.82 and 365.95 is: 548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.53 : 1,370.82 = 365.95 : x
  2. Step 2: Convert to fraction form
    914.53/1,370.82 = 365.95/x
  3. Step 3: Cross multiply
    914.53x = 1,370.82 × 365.95
  4. Step 4: Simplify right side
    914.53x = 501,651.58
  5. Step 5: Solve for x
    x = 501,651.58/914.53
  6. Step 6: Final answer
    x = 548.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.