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Finding the Fourth Proportional to 587.94, 811.37 and 322.38

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Solution

The fourth proportional to 587.94, 811.37 and 322.38 is: 444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.94 : 811.37 = 322.38 : x
  2. Step 2: Convert to fraction form
    587.94/811.37 = 322.38/x
  3. Step 3: Cross multiply
    587.94x = 811.37 × 322.38
  4. Step 4: Simplify right side
    587.94x = 261,570.27
  5. Step 5: Solve for x
    x = 261,570.27/587.94
  6. Step 6: Final answer
    x = 444.89

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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.