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Finding the Fourth Proportional to 420, 578.79 and 414.60

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Solution

The fourth proportional to 420, 578.79 and 414.60 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 578.79 = 414.60 : x
  2. Step 2: Convert to fraction form
    420/578.79 = 414.60/x
  3. Step 3: Cross multiply
    420x = 578.79 × 414.60
  4. Step 4: Simplify right side
    420x = 239,966.33
  5. Step 5: Solve for x
    x = 239,966.33/420
  6. Step 6: Final answer
    x = 571.35

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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.