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Finding the Fourth Proportional to 556.28, 834.43 and 312.27

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Solution

The fourth proportional to 556.28, 834.43 and 312.27 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.28 : 834.43 = 312.27 : x
  2. Step 2: Convert to fraction form
    556.28/834.43 = 312.27/x
  3. Step 3: Cross multiply
    556.28x = 834.43 × 312.27
  4. Step 4: Simplify right side
    556.28x = 260,567.46
  5. Step 5: Solve for x
    x = 260,567.46/556.28
  6. Step 6: Final answer
    x = 468.41

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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.