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Finding the Fourth Proportional to 882.02, 1,321.99 and 419.20

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Solution

The fourth proportional to 882.02, 1,321.99 and 419.20 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.02 : 1,321.99 = 419.20 : x
  2. Step 2: Convert to fraction form
    882.02/1,321.99 = 419.20/x
  3. Step 3: Cross multiply
    882.02x = 1,321.99 × 419.20
  4. Step 4: Simplify right side
    882.02x = 554,178.21
  5. Step 5: Solve for x
    x = 554,178.21/882.02
  6. Step 6: Final answer
    x = 628.31

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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.