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Finding the Fourth Proportional to 1,321.51, 1,981.61 and 443.71

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Solution

The fourth proportional to 1,321.51, 1,981.61 and 443.71 is: 665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.51 : 1,981.61 = 443.71 : x
  2. Step 2: Convert to fraction form
    1,321.51/1,981.61 = 443.71/x
  3. Step 3: Cross multiply
    1,321.51x = 1,981.61 × 443.71
  4. Step 4: Simplify right side
    1,321.51x = 879,260.17
  5. Step 5: Solve for x
    x = 879,260.17/1,321.51
  6. Step 6: Final answer
    x = 665.35

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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.