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Finding the Fourth Proportional to 428.46, 589.60 and 415.80

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Solution

The fourth proportional to 428.46, 589.60 and 415.80 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.46 : 589.60 = 415.80 : x
  2. Step 2: Convert to fraction form
    428.46/589.60 = 415.80/x
  3. Step 3: Cross multiply
    428.46x = 589.60 × 415.80
  4. Step 4: Simplify right side
    428.46x = 245,155.68
  5. Step 5: Solve for x
    x = 245,155.68/428.46
  6. Step 6: Final answer
    x = 572.18

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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.