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Finding the Fourth Proportional to 506.65, 757.95 and 438.93

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Solution

The fourth proportional to 506.65, 757.95 and 438.93 is: 656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 757.95 = 438.93 : x
  2. Step 2: Convert to fraction form
    506.65/757.95 = 438.93/x
  3. Step 3: Cross multiply
    506.65x = 757.95 × 438.93
  4. Step 4: Simplify right side
    506.65x = 332,686.99
  5. Step 5: Solve for x
    x = 332,686.99/506.65
  6. Step 6: Final answer
    x = 656.64

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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.