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Finding the Fourth Proportional to 556.28, 762.09 and 535.51

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Solution

The fourth proportional to 556.28, 762.09 and 535.51 is: 733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.28 : 762.09 = 535.51 : x
  2. Step 2: Convert to fraction form
    556.28/762.09 = 535.51/x
  3. Step 3: Cross multiply
    556.28x = 762.09 × 535.51
  4. Step 4: Simplify right side
    556.28x = 408,106.82
  5. Step 5: Solve for x
    x = 408,106.82/556.28
  6. Step 6: Final answer
    x = 733.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.