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Finding the Fourth Proportional to 453.12, 680.28 and 392.37

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Solution

The fourth proportional to 453.12, 680.28 and 392.37 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.12 : 680.28 = 392.37 : x
  2. Step 2: Convert to fraction form
    453.12/680.28 = 392.37/x
  3. Step 3: Cross multiply
    453.12x = 680.28 × 392.37
  4. Step 4: Simplify right side
    453.12x = 266,921.46
  5. Step 5: Solve for x
    x = 266,921.46/453.12
  6. Step 6: Final answer
    x = 589.07

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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.