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Finding the Fourth Proportional to 588.55, 812.01 and 355.67

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Solution

The fourth proportional to 588.55, 812.01 and 355.67 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.55 : 812.01 = 355.67 : x
  2. Step 2: Convert to fraction form
    588.55/812.01 = 355.67/x
  3. Step 3: Cross multiply
    588.55x = 812.01 × 355.67
  4. Step 4: Simplify right side
    588.55x = 288,805.82
  5. Step 5: Solve for x
    x = 288,805.82/588.55
  6. Step 6: Final answer
    x = 490.71

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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.