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Finding the Fourth Proportional to 419.84, 579.72 and 354.56

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Solution

The fourth proportional to 419.84, 579.72 and 354.56 is: 489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.84 : 579.72 = 354.56 : x
  2. Step 2: Convert to fraction form
    419.84/579.72 = 354.56/x
  3. Step 3: Cross multiply
    419.84x = 579.72 × 354.56
  4. Step 4: Simplify right side
    419.84x = 205,545.52
  5. Step 5: Solve for x
    x = 205,545.52/419.84
  6. Step 6: Final answer
    x = 489.58

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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.