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Finding the Fourth Proportional to 405.80, 609.60 and 284.30

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Solution

The fourth proportional to 405.80, 609.60 and 284.30 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.80 : 609.60 = 284.30 : x
  2. Step 2: Convert to fraction form
    405.80/609.60 = 284.30/x
  3. Step 3: Cross multiply
    405.80x = 609.60 × 284.30
  4. Step 4: Simplify right side
    405.80x = 173,309.28
  5. Step 5: Solve for x
    x = 173,309.28/405.80
  6. Step 6: Final answer
    x = 427.08

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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.