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Finding the Fourth Proportional to 633.15, 872.64 and 508.59

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Solution

The fourth proportional to 633.15, 872.64 and 508.59 is: 700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.15 : 872.64 = 508.59 : x
  2. Step 2: Convert to fraction form
    633.15/872.64 = 508.59/x
  3. Step 3: Cross multiply
    633.15x = 872.64 × 508.59
  4. Step 4: Simplify right side
    633.15x = 443,815.98
  5. Step 5: Solve for x
    x = 443,815.98/633.15
  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.