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Finding the Fourth Proportional to 955.12, 1,424.54 and 823.54

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Solution

The fourth proportional to 955.12, 1,424.54 and 823.54 is: 1,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.12 : 1,424.54 = 823.54 : x
  2. Step 2: Convert to fraction form
    955.12/1,424.54 = 823.54/x
  3. Step 3: Cross multiply
    955.12x = 1,424.54 × 823.54
  4. Step 4: Simplify right side
    955.12x = 1,173,165.67
  5. Step 5: Solve for x
    x = 1,173,165.67/955.12
  6. Step 6: Final answer
    x = 1,228.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.