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Finding the Fourth Proportional to 830.54, 1,245.81 and 310.55

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Solution

The fourth proportional to 830.54, 1,245.81 and 310.55 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.54 : 1,245.81 = 310.55 : x
  2. Step 2: Convert to fraction form
    830.54/1,245.81 = 310.55/x
  3. Step 3: Cross multiply
    830.54x = 1,245.81 × 310.55
  4. Step 4: Simplify right side
    830.54x = 386,880.07
  5. Step 5: Solve for x
    x = 386,880.07/830.54
  6. Step 6: Final answer
    x = 465.82

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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.