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Finding the Fourth Proportional to 412.86, 618.10 and 310.57

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Solution

The fourth proportional to 412.86, 618.10 and 310.57 is: 464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.86 : 618.10 = 310.57 : x
  2. Step 2: Convert to fraction form
    412.86/618.10 = 310.57/x
  3. Step 3: Cross multiply
    412.86x = 618.10 × 310.57
  4. Step 4: Simplify right side
    412.86x = 191,961.00
  5. Step 5: Solve for x
    x = 191,961.00/412.86
  6. Step 6: Final answer
    x = 464.95

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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.