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Finding the Fourth Proportional to 882.07, 1,321.94 and 420.01

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Solution

The fourth proportional to 882.07, 1,321.94 and 420.01 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.07 : 1,321.94 = 420.01 : x
  2. Step 2: Convert to fraction form
    882.07/1,321.94 = 420.01/x
  3. Step 3: Cross multiply
    882.07x = 1,321.94 × 420.01
  4. Step 4: Simplify right side
    882.07x = 555,225.76
  5. Step 5: Solve for x
    x = 555,225.76/882.07
  6. Step 6: Final answer
    x = 629.46

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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.