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Finding the Fourth Proportional to 508.01, 696.68 and 486.96

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Solution

The fourth proportional to 508.01, 696.68 and 486.96 is: 667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.01 : 696.68 = 486.96 : x
  2. Step 2: Convert to fraction form
    508.01/696.68 = 486.96/x
  3. Step 3: Cross multiply
    508.01x = 696.68 × 486.96
  4. Step 4: Simplify right side
    508.01x = 339,252.86
  5. Step 5: Solve for x
    x = 339,252.86/508.01
  6. Step 6: Final answer
    x = 667.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.