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Finding the Fourth Proportional to 453.20, 624.66 and 320.46

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Solution

The fourth proportional to 453.20, 624.66 and 320.46 is: 441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 624.66 = 320.46 : x
  2. Step 2: Convert to fraction form
    453.20/624.66 = 320.46/x
  3. Step 3: Cross multiply
    453.20x = 624.66 × 320.46
  4. Step 4: Simplify right side
    453.20x = 200,176.80
  5. Step 5: Solve for x
    x = 200,176.80/453.20
  6. Step 6: Final answer
    x = 441.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.