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Finding the Fourth Proportional to 449.69, 674.21 and 313.00

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Solution

The fourth proportional to 449.69, 674.21 and 313.00 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.69 : 674.21 = 313.00 : x
  2. Step 2: Convert to fraction form
    449.69/674.21 = 313.00/x
  3. Step 3: Cross multiply
    449.69x = 674.21 × 313.00
  4. Step 4: Simplify right side
    449.69x = 211,026.83
  5. Step 5: Solve for x
    x = 211,026.83/449.69
  6. Step 6: Final answer
    x = 469.28

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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.