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Finding the Fourth Proportional to 587.84, 811.18 and 322.22

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Solution

The fourth proportional to 587.84, 811.18 and 322.22 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.84 : 811.18 = 322.22 : x
  2. Step 2: Convert to fraction form
    587.84/811.18 = 322.22/x
  3. Step 3: Cross multiply
    587.84x = 811.18 × 322.22
  4. Step 4: Simplify right side
    587.84x = 261,378.42
  5. Step 5: Solve for x
    x = 261,378.42/587.84
  6. Step 6: Final answer
    x = 444.64

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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.