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Finding the Fourth Proportional to 830.45, 1,245.51 and 419.49

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Solution

The fourth proportional to 830.45, 1,245.51 and 419.49 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,245.51 = 419.49 : x
  2. Step 2: Convert to fraction form
    830.45/1,245.51 = 419.49/x
  3. Step 3: Cross multiply
    830.45x = 1,245.51 × 419.49
  4. Step 4: Simplify right side
    830.45x = 522,478.99
  5. Step 5: Solve for x
    x = 522,478.99/830.45
  6. Step 6: Final answer
    x = 629.16

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1.5x scale

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.