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Finding the Fourth Proportional to 955.07, 1,318.35 and 821.80

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Solution

The fourth proportional to 955.07, 1,318.35 and 821.80 is: 1,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.07 : 1,318.35 = 821.80 : x
  2. Step 2: Convert to fraction form
    955.07/1,318.35 = 821.80/x
  3. Step 3: Cross multiply
    955.07x = 1,318.35 × 821.80
  4. Step 4: Simplify right side
    955.07x = 1,083,415.03
  5. Step 5: Solve for x
    x = 1,083,415.03/955.07
  6. Step 6: Final answer
    x = 1,134.39

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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.