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Finding the Fourth Proportional to 508.09, 757.84 and 492.71

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Solution

The fourth proportional to 508.09, 757.84 and 492.71 is: 734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 757.84 = 492.71 : x
  2. Step 2: Convert to fraction form
    508.09/757.84 = 492.71/x
  3. Step 3: Cross multiply
    508.09x = 757.84 × 492.71
  4. Step 4: Simplify right side
    508.09x = 373,396.35
  5. Step 5: Solve for x
    x = 373,396.35/508.09
  6. Step 6: Final answer
    x = 734.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.