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Finding the Fourth Proportional to 989.26, 1,483.68 and 305.26

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Solution

The fourth proportional to 989.26, 1,483.68 and 305.26 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.26 : 1,483.68 = 305.26 : x
  2. Step 2: Convert to fraction form
    989.26/1,483.68 = 305.26/x
  3. Step 3: Cross multiply
    989.26x = 1,483.68 × 305.26
  4. Step 4: Simplify right side
    989.26x = 452,908.16
  5. Step 5: Solve for x
    x = 452,908.16/989.26
  6. Step 6: Final answer
    x = 457.83

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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.