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Finding the Fourth Proportional to 883.71, 1,324.70 and 421.37

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Solution

The fourth proportional to 883.71, 1,324.70 and 421.37 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.71 : 1,324.70 = 421.37 : x
  2. Step 2: Convert to fraction form
    883.71/1,324.70 = 421.37/x
  3. Step 3: Cross multiply
    883.71x = 1,324.70 × 421.37
  4. Step 4: Simplify right side
    883.71x = 558,182.22
  5. Step 5: Solve for x
    x = 558,182.22/883.71
  6. Step 6: Final answer
    x = 631.64

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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.