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Finding the Fourth Proportional to 982.68, 1,468.66 and 904.84

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Solution

The fourth proportional to 982.68, 1,468.66 and 904.84 is: 1,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.68 : 1,468.66 = 904.84 : x
  2. Step 2: Convert to fraction form
    982.68/1,468.66 = 904.84/x
  3. Step 3: Cross multiply
    982.68x = 1,468.66 × 904.84
  4. Step 4: Simplify right side
    982.68x = 1,328,902.31
  5. Step 5: Solve for x
    x = 1,328,902.31/982.68
  6. Step 6: Final answer
    x = 1,352.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.