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Finding the Fourth Proportional to 561.77, 842.67 and 305.27

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Solution

The fourth proportional to 561.77, 842.67 and 305.27 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.77 : 842.67 = 305.27 : x
  2. Step 2: Convert to fraction form
    561.77/842.67 = 305.27/x
  3. Step 3: Cross multiply
    561.77x = 842.67 × 305.27
  4. Step 4: Simplify right side
    561.77x = 257,241.87
  5. Step 5: Solve for x
    x = 257,241.87/561.77
  6. Step 6: Final answer
    x = 457.91

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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.