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Finding the Fourth Proportional to 506.16, 760.66 and 493.88

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Solution

The fourth proportional to 506.16, 760.66 and 493.88 is: 742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 760.66 = 493.88 : x
  2. Step 2: Convert to fraction form
    506.16/760.66 = 493.88/x
  3. Step 3: Cross multiply
    506.16x = 760.66 × 493.88
  4. Step 4: Simplify right side
    506.16x = 375,669.72
  5. Step 5: Solve for x
    x = 375,669.72/506.16
  6. Step 6: Final answer
    x = 742.20

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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.