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Finding the Fourth Proportional to 500.84, 752.35 and 423.96

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Solution

The fourth proportional to 500.84, 752.35 and 423.96 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.84 : 752.35 = 423.96 : x
  2. Step 2: Convert to fraction form
    500.84/752.35 = 423.96/x
  3. Step 3: Cross multiply
    500.84x = 752.35 × 423.96
  4. Step 4: Simplify right side
    500.84x = 318,965.25
  5. Step 5: Solve for x
    x = 318,965.25/500.84
  6. Step 6: Final answer
    x = 636.86

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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.