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Finding the Fourth Proportional to 419.94, 579.54 and 289.02

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Solution

The fourth proportional to 419.94, 579.54 and 289.02 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 579.54 = 289.02 : x
  2. Step 2: Convert to fraction form
    419.94/579.54 = 289.02/x
  3. Step 3: Cross multiply
    419.94x = 579.54 × 289.02
  4. Step 4: Simplify right side
    419.94x = 167,498.65
  5. Step 5: Solve for x
    x = 167,498.65/419.94
  6. Step 6: Final answer
    x = 398.86

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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.