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Finding the Fourth Proportional to 505.98, 757.96 and 402.71

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Solution

The fourth proportional to 505.98, 757.96 and 402.71 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.98 : 757.96 = 402.71 : x
  2. Step 2: Convert to fraction form
    505.98/757.96 = 402.71/x
  3. Step 3: Cross multiply
    505.98x = 757.96 × 402.71
  4. Step 4: Simplify right side
    505.98x = 305,233.28
  5. Step 5: Solve for x
    x = 305,233.28/505.98
  6. Step 6: Final answer
    x = 603.25

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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.