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Finding the Fourth Proportional to 989.72, 1,484.58 and 259.29

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Solution

The fourth proportional to 989.72, 1,484.58 and 259.29 is: 388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.72 : 1,484.58 = 259.29 : x
  2. Step 2: Convert to fraction form
    989.72/1,484.58 = 259.29/x
  3. Step 3: Cross multiply
    989.72x = 1,484.58 × 259.29
  4. Step 4: Simplify right side
    989.72x = 384,936.75
  5. Step 5: Solve for x
    x = 384,936.75/989.72
  6. Step 6: Final answer
    x = 388.94

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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.