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Finding the Fourth Proportional to 453.92, 624.78 and 322.70

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Solution

The fourth proportional to 453.92, 624.78 and 322.70 is: 444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 624.78 = 322.70 : x
  2. Step 2: Convert to fraction form
    453.92/624.78 = 322.70/x
  3. Step 3: Cross multiply
    453.92x = 624.78 × 322.70
  4. Step 4: Simplify right side
    453.92x = 201,616.51
  5. Step 5: Solve for x
    x = 201,616.51/453.92
  6. Step 6: Final answer
    x = 444.17

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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.