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Finding the Fourth Proportional to 508.34, 764.03 and 497.56

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Solution

The fourth proportional to 508.34, 764.03 and 497.56 is: 747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.34 : 764.03 = 497.56 : x
  2. Step 2: Convert to fraction form
    508.34/764.03 = 497.56/x
  3. Step 3: Cross multiply
    508.34x = 764.03 × 497.56
  4. Step 4: Simplify right side
    508.34x = 380,146.37
  5. Step 5: Solve for x
    x = 380,146.37/508.34
  6. Step 6: Final answer
    x = 747.83

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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.