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Finding the Fourth Proportional to 980.67, 1,353.37 and 587.69

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Solution

The fourth proportional to 980.67, 1,353.37 and 587.69 is: 811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.67 : 1,353.37 = 587.69 : x
  2. Step 2: Convert to fraction form
    980.67/1,353.37 = 587.69/x
  3. Step 3: Cross multiply
    980.67x = 1,353.37 × 587.69
  4. Step 4: Simplify right side
    980.67x = 795,362.02
  5. Step 5: Solve for x
    x = 795,362.02/980.67
  6. Step 6: Final answer
    x = 811.04

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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.