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Finding the Fourth Proportional to 830.77, 1,246.20 and 419.43

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Solution

The fourth proportional to 830.77, 1,246.20 and 419.43 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.77 : 1,246.20 = 419.43 : x
  2. Step 2: Convert to fraction form
    830.77/1,246.20 = 419.43/x
  3. Step 3: Cross multiply
    830.77x = 1,246.20 × 419.43
  4. Step 4: Simplify right side
    830.77x = 522,693.67
  5. Step 5: Solve for x
    x = 522,693.67/830.77
  6. Step 6: Final answer
    x = 629.17

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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.