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Finding the Fourth Proportional to 505.13, 756.56 and 427.79

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Solution

The fourth proportional to 505.13, 756.56 and 427.79 is: 640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.13 : 756.56 = 427.79 : x
  2. Step 2: Convert to fraction form
    505.13/756.56 = 427.79/x
  3. Step 3: Cross multiply
    505.13x = 756.56 × 427.79
  4. Step 4: Simplify right side
    505.13x = 323,642.88
  5. Step 5: Solve for x
    x = 323,642.88/505.13
  6. Step 6: Final answer
    x = 640.72

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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.