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Finding the Fourth Proportional to 556.63, 835.81 and 452.97

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Solution

The fourth proportional to 556.63, 835.81 and 452.97 is: 680.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.63 : 835.81 = 452.97 : x
  2. Step 2: Convert to fraction form
    556.63/835.81 = 452.97/x
  3. Step 3: Cross multiply
    556.63x = 835.81 × 452.97
  4. Step 4: Simplify right side
    556.63x = 378,595.72
  5. Step 5: Solve for x
    x = 378,595.72/556.63
  6. Step 6: Final answer
    x = 680.16

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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.