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Finding the Fourth Proportional to 830.76, 1,245.69 and 419.64

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Solution

The fourth proportional to 830.76, 1,245.69 and 419.64 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.76 : 1,245.69 = 419.64 : x
  2. Step 2: Convert to fraction form
    830.76/1,245.69 = 419.64/x
  3. Step 3: Cross multiply
    830.76x = 1,245.69 × 419.64
  4. Step 4: Simplify right side
    830.76x = 522,741.35
  5. Step 5: Solve for x
    x = 522,741.35/830.76
  6. Step 6: Final answer
    x = 629.23

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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.