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Finding the Fourth Proportional to 461.55, 689.63 and 445.41

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Solution

The fourth proportional to 461.55, 689.63 and 445.41 is: 665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.55 : 689.63 = 445.41 : x
  2. Step 2: Convert to fraction form
    461.55/689.63 = 445.41/x
  3. Step 3: Cross multiply
    461.55x = 689.63 × 445.41
  4. Step 4: Simplify right side
    461.55x = 307,164.65
  5. Step 5: Solve for x
    x = 307,164.65/461.55
  6. Step 6: Final answer
    x = 665.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.