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Finding the Fourth Proportional to 508.06, 764.93 and 437.59

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Solution

The fourth proportional to 508.06, 764.93 and 437.59 is: 658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.06 : 764.93 = 437.59 : x
  2. Step 2: Convert to fraction form
    508.06/764.93 = 437.59/x
  3. Step 3: Cross multiply
    508.06x = 764.93 × 437.59
  4. Step 4: Simplify right side
    508.06x = 334,725.72
  5. Step 5: Solve for x
    x = 334,725.72/508.06
  6. Step 6: Final answer
    x = 658.83

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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.