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Finding the Fourth Proportional to 830.70, 1,246.19 and 484.07

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Solution

The fourth proportional to 830.70, 1,246.19 and 484.07 is: 726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.70 : 1,246.19 = 484.07 : x
  2. Step 2: Convert to fraction form
    830.70/1,246.19 = 484.07/x
  3. Step 3: Cross multiply
    830.70x = 1,246.19 × 484.07
  4. Step 4: Simplify right side
    830.70x = 603,234.54
  5. Step 5: Solve for x
    x = 603,234.54/830.70
  6. Step 6: Final answer
    x = 726.18

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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.