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Finding the Fourth Proportional to 633.72, 875.34 and 486.84

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Solution

The fourth proportional to 633.72, 875.34 and 486.84 is: 672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 875.34 = 486.84 : x
  2. Step 2: Convert to fraction form
    633.72/875.34 = 486.84/x
  3. Step 3: Cross multiply
    633.72x = 875.34 × 486.84
  4. Step 4: Simplify right side
    633.72x = 426,150.53
  5. Step 5: Solve for x
    x = 426,150.53/633.72
  6. Step 6: Final answer
    x = 672.46

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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.