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Finding the Fourth Proportional to 982.36, 1,475.16 and 888.40

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Solution

The fourth proportional to 982.36, 1,475.16 and 888.40 is: 1,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.36 : 1,475.16 = 888.40 : x
  2. Step 2: Convert to fraction form
    982.36/1,475.16 = 888.40/x
  3. Step 3: Cross multiply
    982.36x = 1,475.16 × 888.40
  4. Step 4: Simplify right side
    982.36x = 1,310,532.14
  5. Step 5: Solve for x
    x = 1,310,532.14/982.36
  6. Step 6: Final answer
    x = 1,334.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.