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Finding the Fourth Proportional to 505.40, 758.64 and 444.92

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Solution

The fourth proportional to 505.40, 758.64 and 444.92 is: 667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.40 : 758.64 = 444.92 : x
  2. Step 2: Convert to fraction form
    505.40/758.64 = 444.92/x
  3. Step 3: Cross multiply
    505.40x = 758.64 × 444.92
  4. Step 4: Simplify right side
    505.40x = 337,534.11
  5. Step 5: Solve for x
    x = 337,534.11/505.40
  6. Step 6: Final answer
    x = 667.86

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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.