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Finding the Fourth Proportional to 588.76, 812.51 and 355.75

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Solution

The fourth proportional to 588.76, 812.51 and 355.75 is: 490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 812.51 = 355.75 : x
  2. Step 2: Convert to fraction form
    588.76/812.51 = 355.75/x
  3. Step 3: Cross multiply
    588.76x = 812.51 × 355.75
  4. Step 4: Simplify right side
    588.76x = 289,050.43
  5. Step 5: Solve for x
    x = 289,050.43/588.76
  6. Step 6: Final answer
    x = 490.95

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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.