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Finding the Fourth Proportional to 587.91, 811.31 and 322.35

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Solution

The fourth proportional to 587.91, 811.31 and 322.35 is: 444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.91 : 811.31 = 322.35 : x
  2. Step 2: Convert to fraction form
    587.91/811.31 = 322.35/x
  3. Step 3: Cross multiply
    587.91x = 811.31 × 322.35
  4. Step 4: Simplify right side
    587.91x = 261,524.42
  5. Step 5: Solve for x
    x = 261,524.42/587.91
  6. Step 6: Final answer
    x = 444.84

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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.