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Finding the Fourth Proportional to 633.80, 873.33 and 456.59

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Solution

The fourth proportional to 633.80, 873.33 and 456.59 is: 629.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 873.33 = 456.59 : x
  2. Step 2: Convert to fraction form
    633.80/873.33 = 456.59/x
  3. Step 3: Cross multiply
    633.80x = 873.33 × 456.59
  4. Step 4: Simplify right side
    633.80x = 398,753.74
  5. Step 5: Solve for x
    x = 398,753.74/633.80
  6. Step 6: Final answer
    x = 629.15

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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.