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Finding the Fourth Proportional to 633.68, 948.58 and 470.96

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Solution

The fourth proportional to 633.68, 948.58 and 470.96 is: 705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.68 : 948.58 = 470.96 : x
  2. Step 2: Convert to fraction form
    633.68/948.58 = 470.96/x
  3. Step 3: Cross multiply
    633.68x = 948.58 × 470.96
  4. Step 4: Simplify right side
    633.68x = 446,743.24
  5. Step 5: Solve for x
    x = 446,743.24/633.68
  6. Step 6: Final answer
    x = 705.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.