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Finding the Fourth Proportional to 982.51, 1,354.60 and 804.81

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Solution

The fourth proportional to 982.51, 1,354.60 and 804.81 is: 1,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.51 : 1,354.60 = 804.81 : x
  2. Step 2: Convert to fraction form
    982.51/1,354.60 = 804.81/x
  3. Step 3: Cross multiply
    982.51x = 1,354.60 × 804.81
  4. Step 4: Simplify right side
    982.51x = 1,090,191.60
  5. Step 5: Solve for x
    x = 1,090,191.60/982.51
  6. Step 6: Final answer
    x = 1,109.60

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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.