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Finding the Fourth Proportional to 456.83, 681.19 and 421.37

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Solution

The fourth proportional to 456.83, 681.19 and 421.37 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.83 : 681.19 = 421.37 : x
  2. Step 2: Convert to fraction form
    456.83/681.19 = 421.37/x
  3. Step 3: Cross multiply
    456.83x = 681.19 × 421.37
  4. Step 4: Simplify right side
    456.83x = 287,030.92
  5. Step 5: Solve for x
    x = 287,030.92/456.83
  6. Step 6: Final answer
    x = 628.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.