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Finding the Fourth Proportional to 842.37, 1,160.65 and 605.54

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Solution

The fourth proportional to 842.37, 1,160.65 and 605.54 is: 834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.37 : 1,160.65 = 605.54 : x
  2. Step 2: Convert to fraction form
    842.37/1,160.65 = 605.54/x
  3. Step 3: Cross multiply
    842.37x = 1,160.65 × 605.54
  4. Step 4: Simplify right side
    842.37x = 702,823.66
  5. Step 5: Solve for x
    x = 702,823.66/842.37
  6. Step 6: Final answer
    x = 834.34

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1.5x scale

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.