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Finding the Fourth Proportional to 980.53, 1,353.16 and 555.13

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Solution

The fourth proportional to 980.53, 1,353.16 and 555.13 is: 766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.53 : 1,353.16 = 555.13 : x
  2. Step 2: Convert to fraction form
    980.53/1,353.16 = 555.13/x
  3. Step 3: Cross multiply
    980.53x = 1,353.16 × 555.13
  4. Step 4: Simplify right side
    980.53x = 751,174.33
  5. Step 5: Solve for x
    x = 751,174.33/980.53
  6. Step 6: Final answer
    x = 766.09

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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.