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Finding the Fourth Proportional to 830.03, 1,245.06 and 537.98

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Solution

The fourth proportional to 830.03, 1,245.06 and 537.98 is: 806.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.03 : 1,245.06 = 537.98 : x
  2. Step 2: Convert to fraction form
    830.03/1,245.06 = 537.98/x
  3. Step 3: Cross multiply
    830.03x = 1,245.06 × 537.98
  4. Step 4: Simplify right side
    830.03x = 669,811.15
  5. Step 5: Solve for x
    x = 669,811.15/830.03
  6. Step 6: Final answer
    x = 806.98

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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.