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Finding the Fourth Proportional to 556.54, 834.21 and 419.17

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Solution

The fourth proportional to 556.54, 834.21 and 419.17 is: 628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 834.21 = 419.17 : x
  2. Step 2: Convert to fraction form
    556.54/834.21 = 419.17/x
  3. Step 3: Cross multiply
    556.54x = 834.21 × 419.17
  4. Step 4: Simplify right side
    556.54x = 349,675.81
  5. Step 5: Solve for x
    x = 349,675.81/556.54
  6. Step 6: Final answer
    x = 628.30

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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.