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Finding the Fourth Proportional to 588.34, 878.97 and 549.91

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Solution

The fourth proportional to 588.34, 878.97 and 549.91 is: 821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.34 : 878.97 = 549.91 : x
  2. Step 2: Convert to fraction form
    588.34/878.97 = 549.91/x
  3. Step 3: Cross multiply
    588.34x = 878.97 × 549.91
  4. Step 4: Simplify right side
    588.34x = 483,354.39
  5. Step 5: Solve for x
    x = 483,354.39/588.34
  6. Step 6: Final answer
    x = 821.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.