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Finding the Fourth Proportional to 508.33, 763.52 and 493.98

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Solution

The fourth proportional to 508.33, 763.52 and 493.98 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.33 : 763.52 = 493.98 : x
  2. Step 2: Convert to fraction form
    508.33/763.52 = 493.98/x
  3. Step 3: Cross multiply
    508.33x = 763.52 × 493.98
  4. Step 4: Simplify right side
    508.33x = 377,161.06
  5. Step 5: Solve for x
    x = 377,161.06/508.33
  6. Step 6: Final answer
    x = 741.96

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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.