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Finding the Fourth Proportional to 461.90, 693.77 and 445.50

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Solution

The fourth proportional to 461.90, 693.77 and 445.50 is: 669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.90 : 693.77 = 445.50 : x
  2. Step 2: Convert to fraction form
    461.90/693.77 = 445.50/x
  3. Step 3: Cross multiply
    461.90x = 693.77 × 445.50
  4. Step 4: Simplify right side
    461.90x = 309,072.31
  5. Step 5: Solve for x
    x = 309,072.31/461.90
  6. Step 6: Final answer
    x = 669.13

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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.