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Finding the Fourth Proportional to 989.25, 1,484.48 and 412.13

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Solution

The fourth proportional to 989.25, 1,484.48 and 412.13 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.25 : 1,484.48 = 412.13 : x
  2. Step 2: Convert to fraction form
    989.25/1,484.48 = 412.13/x
  3. Step 3: Cross multiply
    989.25x = 1,484.48 × 412.13
  4. Step 4: Simplify right side
    989.25x = 611,792.35
  5. Step 5: Solve for x
    x = 611,792.35/989.25
  6. Step 6: Final answer
    x = 618.44

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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.