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Finding the Fourth Proportional to 556.34, 833.59 and 361.33

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Solution

The fourth proportional to 556.34, 833.59 and 361.33 is: 541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.34 : 833.59 = 361.33 : x
  2. Step 2: Convert to fraction form
    556.34/833.59 = 361.33/x
  3. Step 3: Cross multiply
    556.34x = 833.59 × 361.33
  4. Step 4: Simplify right side
    556.34x = 301,201.07
  5. Step 5: Solve for x
    x = 301,201.07/556.34
  6. Step 6: Final answer
    x = 541.40

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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.