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Finding the Fourth Proportional to 556.69, 833.49 and 361.91

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Solution

The fourth proportional to 556.69, 833.49 and 361.91 is: 541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.69 : 833.49 = 361.91 : x
  2. Step 2: Convert to fraction form
    556.69/833.49 = 361.91/x
  3. Step 3: Cross multiply
    556.69x = 833.49 × 361.91
  4. Step 4: Simplify right side
    556.69x = 301,650.45
  5. Step 5: Solve for x
    x = 301,650.45/556.69
  6. Step 6: Final answer
    x = 541.87

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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.