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Finding the Fourth Proportional to 556.56, 835.23 and 282.78

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Solution

The fourth proportional to 556.56, 835.23 and 282.78 is: 424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 835.23 = 282.78 : x
  2. Step 2: Convert to fraction form
    556.56/835.23 = 282.78/x
  3. Step 3: Cross multiply
    556.56x = 835.23 × 282.78
  4. Step 4: Simplify right side
    556.56x = 236,186.34
  5. Step 5: Solve for x
    x = 236,186.34/556.56
  6. Step 6: Final answer
    x = 424.37

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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.