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Finding the Fourth Proportional to 625.86, 938.67 and 504.84

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Solution

The fourth proportional to 625.86, 938.67 and 504.84 is: 757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.86 : 938.67 = 504.84 : x
  2. Step 2: Convert to fraction form
    625.86/938.67 = 504.84/x
  3. Step 3: Cross multiply
    625.86x = 938.67 × 504.84
  4. Step 4: Simplify right side
    625.86x = 473,878.16
  5. Step 5: Solve for x
    x = 473,878.16/625.86
  6. Step 6: Final answer
    x = 757.16

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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.