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Finding the Fourth Proportional to 561.92, 843.04 and 305.28

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Solution

The fourth proportional to 561.92, 843.04 and 305.28 is: 458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.92 : 843.04 = 305.28 : x
  2. Step 2: Convert to fraction form
    561.92/843.04 = 305.28/x
  3. Step 3: Cross multiply
    561.92x = 843.04 × 305.28
  4. Step 4: Simplify right side
    561.92x = 257,363.25
  5. Step 5: Solve for x
    x = 257,363.25/561.92
  6. Step 6: Final answer
    x = 458.01

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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.