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Finding the Fourth Proportional to 479.63, 661.63 and 302.54

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Solution

The fourth proportional to 479.63, 661.63 and 302.54 is: 417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.63 : 661.63 = 302.54 : x
  2. Step 2: Convert to fraction form
    479.63/661.63 = 302.54/x
  3. Step 3: Cross multiply
    479.63x = 661.63 × 302.54
  4. Step 4: Simplify right side
    479.63x = 200,169.54
  5. Step 5: Solve for x
    x = 200,169.54/479.63
  6. Step 6: Final answer
    x = 417.34

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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.