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Finding the Fourth Proportional to 449.86, 670.81 and 395.24

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Solution

The fourth proportional to 449.86, 670.81 and 395.24 is: 589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.86 : 670.81 = 395.24 : x
  2. Step 2: Convert to fraction form
    449.86/670.81 = 395.24/x
  3. Step 3: Cross multiply
    449.86x = 670.81 × 395.24
  4. Step 4: Simplify right side
    449.86x = 265,130.94
  5. Step 5: Solve for x
    x = 265,130.94/449.86
  6. Step 6: Final answer
    x = 589.36

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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.