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Finding the Fourth Proportional to 449.80, 621.39 and 419.07

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Solution

The fourth proportional to 449.80, 621.39 and 419.07 is: 578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.80 : 621.39 = 419.07 : x
  2. Step 2: Convert to fraction form
    449.80/621.39 = 419.07/x
  3. Step 3: Cross multiply
    449.80x = 621.39 × 419.07
  4. Step 4: Simplify right side
    449.80x = 260,402.80
  5. Step 5: Solve for x
    x = 260,402.80/449.80
  6. Step 6: Final answer
    x = 578.93

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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.