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Finding the Fourth Proportional to 449.40, 670.29 and 419.16

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Solution

The fourth proportional to 449.40, 670.29 and 419.16 is: 625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.40 : 670.29 = 419.16 : x
  2. Step 2: Convert to fraction form
    449.40/670.29 = 419.16/x
  3. Step 3: Cross multiply
    449.40x = 670.29 × 419.16
  4. Step 4: Simplify right side
    449.40x = 280,958.76
  5. Step 5: Solve for x
    x = 280,958.76/449.40
  6. Step 6: Final answer
    x = 625.19

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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.