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Finding the Fourth Proportional to 453.92, 677.32 and 407.92

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Solution

The fourth proportional to 453.92, 677.32 and 407.92 is: 608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 677.32 = 407.92 : x
  2. Step 2: Convert to fraction form
    453.92/677.32 = 407.92/x
  3. Step 3: Cross multiply
    453.92x = 677.32 × 407.92
  4. Step 4: Simplify right side
    453.92x = 276,292.37
  5. Step 5: Solve for x
    x = 276,292.37/453.92
  6. Step 6: Final answer
    x = 608.68

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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.