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Finding the Fourth Proportional to 556.63, 768.20 and 335.58

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Solution

The fourth proportional to 556.63, 768.20 and 335.58 is: 463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.63 : 768.20 = 335.58 : x
  2. Step 2: Convert to fraction form
    556.63/768.20 = 335.58/x
  3. Step 3: Cross multiply
    556.63x = 768.20 × 335.58
  4. Step 4: Simplify right side
    556.63x = 257,792.56
  5. Step 5: Solve for x
    x = 257,792.56/556.63
  6. Step 6: Final answer
    x = 463.13

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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.