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Finding the Fourth Proportional to 508.89, 758.96 and 459.68

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Solution

The fourth proportional to 508.89, 758.96 and 459.68 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.89 : 758.96 = 459.68 : x
  2. Step 2: Convert to fraction form
    508.89/758.96 = 459.68/x
  3. Step 3: Cross multiply
    508.89x = 758.96 × 459.68
  4. Step 4: Simplify right side
    508.89x = 348,876.43
  5. Step 5: Solve for x
    x = 348,876.43/508.89
  6. Step 6: Final answer
    x = 685.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.