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Finding the Fourth Proportional to 989.18, 1,484.81 and 441.74

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Solution

The fourth proportional to 989.18, 1,484.81 and 441.74 is: 663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.18 : 1,484.81 = 441.74 : x
  2. Step 2: Convert to fraction form
    989.18/1,484.81 = 441.74/x
  3. Step 3: Cross multiply
    989.18x = 1,484.81 × 441.74
  4. Step 4: Simplify right side
    989.18x = 655,899.97
  5. Step 5: Solve for x
    x = 655,899.97/989.18
  6. Step 6: Final answer
    x = 663.07

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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.