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Finding the Fourth Proportional to 914.44, 1,261.63 and 619.19

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Solution

The fourth proportional to 914.44, 1,261.63 and 619.19 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.44 : 1,261.63 = 619.19 : x
  2. Step 2: Convert to fraction form
    914.44/1,261.63 = 619.19/x
  3. Step 3: Cross multiply
    914.44x = 1,261.63 × 619.19
  4. Step 4: Simplify right side
    914.44x = 781,191.49
  5. Step 5: Solve for x
    x = 781,191.49/914.44
  6. Step 6: Final answer
    x = 854.28

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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.