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Finding the Fourth Proportional to 506.14, 763.86 and 493.18

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Solution

The fourth proportional to 506.14, 763.86 and 493.18 is: 744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.14 : 763.86 = 493.18 : x
  2. Step 2: Convert to fraction form
    506.14/763.86 = 493.18/x
  3. Step 3: Cross multiply
    506.14x = 763.86 × 493.18
  4. Step 4: Simplify right side
    506.14x = 376,720.47
  5. Step 5: Solve for x
    x = 376,720.47/506.14
  6. Step 6: Final answer
    x = 744.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.