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Finding the Fourth Proportional to 556.94, 834.46 and 312.86

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Solution

The fourth proportional to 556.94, 834.46 and 312.86 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.94 : 834.46 = 312.86 : x
  2. Step 2: Convert to fraction form
    556.94/834.46 = 312.86/x
  3. Step 3: Cross multiply
    556.94x = 834.46 × 312.86
  4. Step 4: Simplify right side
    556.94x = 261,069.16
  5. Step 5: Solve for x
    x = 261,069.16/556.94
  6. Step 6: Final answer
    x = 468.76

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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.