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Finding the Fourth Proportional to 633.06, 872.67 and 508.50

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Solution

The fourth proportional to 633.06, 872.67 and 508.50 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.06 : 872.67 = 508.50 : x
  2. Step 2: Convert to fraction form
    633.06/872.67 = 508.50/x
  3. Step 3: Cross multiply
    633.06x = 872.67 × 508.50
  4. Step 4: Simplify right side
    633.06x = 443,752.70
  5. Step 5: Solve for x
    x = 443,752.70/633.06
  6. Step 6: Final answer
    x = 700.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.