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Finding the Fourth Proportional to 830.37, 1,246.32 and 419.80

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Solution

The fourth proportional to 830.37, 1,246.32 and 419.80 is: 630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.37 : 1,246.32 = 419.80 : x
  2. Step 2: Convert to fraction form
    830.37/1,246.32 = 419.80/x
  3. Step 3: Cross multiply
    830.37x = 1,246.32 × 419.80
  4. Step 4: Simplify right side
    830.37x = 523,200.87
  5. Step 5: Solve for x
    x = 523,200.87/830.37
  6. Step 6: Final answer
    x = 630.08

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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.