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Finding the Fourth Proportional to 633.43, 872.94 and 507.25

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Solution

The fourth proportional to 633.43, 872.94 and 507.25 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.43 : 872.94 = 507.25 : x
  2. Step 2: Convert to fraction form
    633.43/872.94 = 507.25/x
  3. Step 3: Cross multiply
    633.43x = 872.94 × 507.25
  4. Step 4: Simplify right side
    633.43x = 442,798.82
  5. Step 5: Solve for x
    x = 442,798.82/633.43
  6. Step 6: Final answer
    x = 699.05

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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.