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Finding the Fourth Proportional to 453.26, 677.52 and 392.26

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Solution

The fourth proportional to 453.26, 677.52 and 392.26 is: 586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.26 : 677.52 = 392.26 : x
  2. Step 2: Convert to fraction form
    453.26/677.52 = 392.26/x
  3. Step 3: Cross multiply
    453.26x = 677.52 × 392.26
  4. Step 4: Simplify right side
    453.26x = 265,764.00
  5. Step 5: Solve for x
    x = 265,764.00/453.26
  6. Step 6: Final answer
    x = 586.34

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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.