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Finding the Fourth Proportional to 556.40, 834.84 and 412.40

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Solution

The fourth proportional to 556.40, 834.84 and 412.40 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.40 : 834.84 = 412.40 : x
  2. Step 2: Convert to fraction form
    556.40/834.84 = 412.40/x
  3. Step 3: Cross multiply
    556.40x = 834.84 × 412.40
  4. Step 4: Simplify right side
    556.40x = 344,288.02
  5. Step 5: Solve for x
    x = 344,288.02/556.40
  6. Step 6: Final answer
    x = 618.78

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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.