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Finding the Fourth Proportional to 506.45, 697.32 and 444.21

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Solution

The fourth proportional to 506.45, 697.32 and 444.21 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.45 : 697.32 = 444.21 : x
  2. Step 2: Convert to fraction form
    506.45/697.32 = 444.21/x
  3. Step 3: Cross multiply
    506.45x = 697.32 × 444.21
  4. Step 4: Simplify right side
    506.45x = 309,756.52
  5. Step 5: Solve for x
    x = 309,756.52/506.45
  6. Step 6: Final answer
    x = 611.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.