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Finding the Fourth Proportional to 479.85, 662.16 and 302.84

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Solution

The fourth proportional to 479.85, 662.16 and 302.84 is: 417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.85 : 662.16 = 302.84 : x
  2. Step 2: Convert to fraction form
    479.85/662.16 = 302.84/x
  3. Step 3: Cross multiply
    479.85x = 662.16 × 302.84
  4. Step 4: Simplify right side
    479.85x = 200,525.22
  5. Step 5: Solve for x
    x = 200,525.22/479.85
  6. Step 6: Final answer
    x = 417.89

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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.