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Finding the Fourth Proportional to 449.74, 670.84 and 430.30

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Solution

The fourth proportional to 449.74, 670.84 and 430.30 is: 641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.74 : 670.84 = 430.30 : x
  2. Step 2: Convert to fraction form
    449.74/670.84 = 430.30/x
  3. Step 3: Cross multiply
    449.74x = 670.84 × 430.30
  4. Step 4: Simplify right side
    449.74x = 288,662.45
  5. Step 5: Solve for x
    x = 288,662.45/449.74
  6. Step 6: Final answer
    x = 641.84

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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.