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Finding the Fourth Proportional to 415.79, 574.01 and 322.32

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Solution

The fourth proportional to 415.79, 574.01 and 322.32 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.79 : 574.01 = 322.32 : x
  2. Step 2: Convert to fraction form
    415.79/574.01 = 322.32/x
  3. Step 3: Cross multiply
    415.79x = 574.01 × 322.32
  4. Step 4: Simplify right side
    415.79x = 185,016.65
  5. Step 5: Solve for x
    x = 185,016.65/415.79
  6. Step 6: Final answer
    x = 444.98

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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.