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Finding the Fourth Proportional to 830.11, 1,245.64 and 310.47

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Solution

The fourth proportional to 830.11, 1,245.64 and 310.47 is: 465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.11 : 1,245.64 = 310.47 : x
  2. Step 2: Convert to fraction form
    830.11/1,245.64 = 310.47/x
  3. Step 3: Cross multiply
    830.11x = 1,245.64 × 310.47
  4. Step 4: Simplify right side
    830.11x = 386,733.85
  5. Step 5: Solve for x
    x = 386,733.85/830.11
  6. Step 6: Final answer
    x = 465.88

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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.