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Finding the Fourth Proportional to 633.80, 946.79 and 458.97

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Solution

The fourth proportional to 633.80, 946.79 and 458.97 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.80 : 946.79 = 458.97 : x
  2. Step 2: Convert to fraction form
    633.80/946.79 = 458.97/x
  3. Step 3: Cross multiply
    633.80x = 946.79 × 458.97
  4. Step 4: Simplify right side
    633.80x = 434,548.21
  5. Step 5: Solve for x
    x = 434,548.21/633.80
  6. Step 6: Final answer
    x = 685.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.