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Finding the Fourth Proportional to 772.49, 1,158.91 and 443.58

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Solution

The fourth proportional to 772.49, 1,158.91 and 443.58 is: 665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.49 : 1,158.91 = 443.58 : x
  2. Step 2: Convert to fraction form
    772.49/1,158.91 = 443.58/x
  3. Step 3: Cross multiply
    772.49x = 1,158.91 × 443.58
  4. Step 4: Simplify right side
    772.49x = 514,069.30
  5. Step 5: Solve for x
    x = 514,069.30/772.49
  6. Step 6: Final answer
    x = 665.47

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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.