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Finding the Fourth Proportional to 1,370.55, 2,054.60 and 504.66

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Solution

The fourth proportional to 1,370.55, 2,054.60 and 504.66 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.55 : 2,054.60 = 504.66 : x
  2. Step 2: Convert to fraction form
    1,370.55/2,054.60 = 504.66/x
  3. Step 3: Cross multiply
    1,370.55x = 2,054.60 × 504.66
  4. Step 4: Simplify right side
    1,370.55x = 1,036,874.44
  5. Step 5: Solve for x
    x = 1,036,874.44/1,370.55
  6. Step 6: Final answer
    x = 756.54

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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.