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Finding the Fourth Proportional to 588.96, 813.24 and 402.84

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Solution

The fourth proportional to 588.96, 813.24 and 402.84 is: 556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 813.24 = 402.84 : x
  2. Step 2: Convert to fraction form
    588.96/813.24 = 402.84/x
  3. Step 3: Cross multiply
    588.96x = 813.24 × 402.84
  4. Step 4: Simplify right side
    588.96x = 327,605.60
  5. Step 5: Solve for x
    x = 327,605.60/588.96
  6. Step 6: Final answer
    x = 556.24

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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.