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Finding the Fourth Proportional to 830.45, 1,245.53 and 439.98

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Solution

The fourth proportional to 830.45, 1,245.53 and 439.98 is: 659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.45 : 1,245.53 = 439.98 : x
  2. Step 2: Convert to fraction form
    830.45/1,245.53 = 439.98/x
  3. Step 3: Cross multiply
    830.45x = 1,245.53 × 439.98
  4. Step 4: Simplify right side
    830.45x = 548,009.25
  5. Step 5: Solve for x
    x = 548,009.25/830.45
  6. Step 6: Final answer
    x = 659.89

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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.