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Finding the Fourth Proportional to 588.42, 811.98 and 355.50

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Solution

The fourth proportional to 588.42, 811.98 and 355.50 is: 490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 811.98 = 355.50 : x
  2. Step 2: Convert to fraction form
    588.42/811.98 = 355.50/x
  3. Step 3: Cross multiply
    588.42x = 811.98 × 355.50
  4. Step 4: Simplify right side
    588.42x = 288,658.89
  5. Step 5: Solve for x
    x = 288,658.89/588.42
  6. Step 6: Final answer
    x = 490.57

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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.