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Finding the Fourth Proportional to 556.35, 833.82 and 282.51

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Solution

The fourth proportional to 556.35, 833.82 and 282.51 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 833.82 = 282.51 : x
  2. Step 2: Convert to fraction form
    556.35/833.82 = 282.51/x
  3. Step 3: Cross multiply
    556.35x = 833.82 × 282.51
  4. Step 4: Simplify right side
    556.35x = 235,562.49
  5. Step 5: Solve for x
    x = 235,562.49/556.35
  6. Step 6: Final answer
    x = 423.41

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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.