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Finding the Fourth Proportional to 982.91, 1,479.68 and 898.16

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Solution

The fourth proportional to 982.91, 1,479.68 and 898.16 is: 1,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.91 : 1,479.68 = 898.16 : x
  2. Step 2: Convert to fraction form
    982.91/1,479.68 = 898.16/x
  3. Step 3: Cross multiply
    982.91x = 1,479.68 × 898.16
  4. Step 4: Simplify right side
    982.91x = 1,328,989.39
  5. Step 5: Solve for x
    x = 1,328,989.39/982.91
  6. Step 6: Final answer
    x = 1,352.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.