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Finding the Fourth Proportional to 444.65, 666.99 and 419.00

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Solution

The fourth proportional to 444.65, 666.99 and 419.00 is: 628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.65 : 666.99 = 419.00 : x
  2. Step 2: Convert to fraction form
    444.65/666.99 = 419.00/x
  3. Step 3: Cross multiply
    444.65x = 666.99 × 419.00
  4. Step 4: Simplify right side
    444.65x = 279,465.48
  5. Step 5: Solve for x
    x = 279,465.48/444.65
  6. Step 6: Final answer
    x = 628.51

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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.