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Finding the Fourth Proportional to 955.10, 1,317.56 and 823.88

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Solution

The fourth proportional to 955.10, 1,317.56 and 823.88 is: 1,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.10 : 1,317.56 = 823.88 : x
  2. Step 2: Convert to fraction form
    955.10/1,317.56 = 823.88/x
  3. Step 3: Cross multiply
    955.10x = 1,317.56 × 823.88
  4. Step 4: Simplify right side
    955.10x = 1,085,500.63
  5. Step 5: Solve for x
    x = 1,085,500.63/955.10
  6. Step 6: Final answer
    x = 1,136.54

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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.