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Finding the Fourth Proportional to 989.49, 1,484.29 and 441.71

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Solution

The fourth proportional to 989.49, 1,484.29 and 441.71 is: 662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.49 : 1,484.29 = 441.71 : x
  2. Step 2: Convert to fraction form
    989.49/1,484.29 = 441.71/x
  3. Step 3: Cross multiply
    989.49x = 1,484.29 × 441.71
  4. Step 4: Simplify right side
    989.49x = 655,625.74
  5. Step 5: Solve for x
    x = 655,625.74/989.49
  6. Step 6: Final answer
    x = 662.59

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1.5x scale

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.