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Finding the Fourth Proportional to 832.92, 1,247.43 and 421.05

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Solution

The fourth proportional to 832.92, 1,247.43 and 421.05 is: 630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.92 : 1,247.43 = 421.05 : x
  2. Step 2: Convert to fraction form
    832.92/1,247.43 = 421.05/x
  3. Step 3: Cross multiply
    832.92x = 1,247.43 × 421.05
  4. Step 4: Simplify right side
    832.92x = 525,230.40
  5. Step 5: Solve for x
    x = 525,230.40/832.92
  6. Step 6: Final answer
    x = 630.59

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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.