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Finding the Fourth Proportional to 581.43, 870.21 and 443.69

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Solution

The fourth proportional to 581.43, 870.21 and 443.69 is: 664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.43 : 870.21 = 443.69 : x
  2. Step 2: Convert to fraction form
    581.43/870.21 = 443.69/x
  3. Step 3: Cross multiply
    581.43x = 870.21 × 443.69
  4. Step 4: Simplify right side
    581.43x = 386,099.12
  5. Step 5: Solve for x
    x = 386,099.12/581.43
  6. Step 6: Final answer
    x = 664.05

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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.