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Finding the Fourth Proportional to 845.22, 1,261.42 and 823.35

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Solution

The fourth proportional to 845.22, 1,261.42 and 823.35 is: 1,228.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.22 : 1,261.42 = 823.35 : x
  2. Step 2: Convert to fraction form
    845.22/1,261.42 = 823.35/x
  3. Step 3: Cross multiply
    845.22x = 1,261.42 × 823.35
  4. Step 4: Simplify right side
    845.22x = 1,038,588.10
  5. Step 5: Solve for x
    x = 1,038,588.10/845.22
  6. Step 6: Final answer
    x = 1,228.78

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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.