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Finding the Fourth Proportional to 832.02, 1,246.06 and 419.86

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Solution

The fourth proportional to 832.02, 1,246.06 and 419.86 is: 628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.02 : 1,246.06 = 419.86 : x
  2. Step 2: Convert to fraction form
    832.02/1,246.06 = 419.86/x
  3. Step 3: Cross multiply
    832.02x = 1,246.06 × 419.86
  4. Step 4: Simplify right side
    832.02x = 523,170.75
  5. Step 5: Solve for x
    x = 523,170.75/832.02
  6. Step 6: Final answer
    x = 628.80

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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.