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Finding the Fourth Proportional to 830.50, 1,244.72 and 419.41

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Solution

The fourth proportional to 830.50, 1,244.72 and 419.41 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.50 : 1,244.72 = 419.41 : x
  2. Step 2: Convert to fraction form
    830.50/1,244.72 = 419.41/x
  3. Step 3: Cross multiply
    830.50x = 1,244.72 × 419.41
  4. Step 4: Simplify right side
    830.50x = 522,048.02
  5. Step 5: Solve for x
    x = 522,048.02/830.50
  6. Step 6: Final answer
    x = 628.59

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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.