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Finding the Fourth Proportional to 588.79, 813.14 and 402.76

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Solution

The fourth proportional to 588.79, 813.14 and 402.76 is: 556.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.79 : 813.14 = 402.76 : x
  2. Step 2: Convert to fraction form
    588.79/813.14 = 402.76/x
  3. Step 3: Cross multiply
    588.79x = 813.14 × 402.76
  4. Step 4: Simplify right side
    588.79x = 327,496.21
  5. Step 5: Solve for x
    x = 327,496.21/588.79
  6. Step 6: Final answer
    x = 556.22

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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.