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Finding the Fourth Proportional to 989.26, 1,484.08 and 412.12

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Solution

The fourth proportional to 989.26, 1,484.08 and 412.12 is: 618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.26 : 1,484.08 = 412.12 : x
  2. Step 2: Convert to fraction form
    989.26/1,484.08 = 412.12/x
  3. Step 3: Cross multiply
    989.26x = 1,484.08 × 412.12
  4. Step 4: Simplify right side
    989.26x = 611,619.05
  5. Step 5: Solve for x
    x = 611,619.05/989.26
  6. Step 6: Final answer
    x = 618.26

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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.