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Finding the Fourth Proportional to 561.50, 840.82 and 300.54

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Solution

The fourth proportional to 561.50, 840.82 and 300.54 is: 450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.50 : 840.82 = 300.54 : x
  2. Step 2: Convert to fraction form
    561.50/840.82 = 300.54/x
  3. Step 3: Cross multiply
    561.50x = 840.82 × 300.54
  4. Step 4: Simplify right side
    561.50x = 252,700.04
  5. Step 5: Solve for x
    x = 252,700.04/561.50
  6. Step 6: Final answer
    x = 450.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.