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Finding the Fourth Proportional to 508.21, 763.13 and 475.81

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Solution

The fourth proportional to 508.21, 763.13 and 475.81 is: 714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.21 : 763.13 = 475.81 : x
  2. Step 2: Convert to fraction form
    508.21/763.13 = 475.81/x
  3. Step 3: Cross multiply
    508.21x = 763.13 × 475.81
  4. Step 4: Simplify right side
    508.21x = 363,104.89
  5. Step 5: Solve for x
    x = 363,104.89/508.21
  6. Step 6: Final answer
    x = 714.48

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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.