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Finding the Fourth Proportional to 505.66, 757.14 and 424.66

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Solution

The fourth proportional to 505.66, 757.14 and 424.66 is: 635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 757.14 = 424.66 : x
  2. Step 2: Convert to fraction form
    505.66/757.14 = 424.66/x
  3. Step 3: Cross multiply
    505.66x = 757.14 × 424.66
  4. Step 4: Simplify right side
    505.66x = 321,527.07
  5. Step 5: Solve for x
    x = 321,527.07/505.66
  6. Step 6: Final answer
    x = 635.86

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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.