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Finding the Fourth Proportional to 633.65, 875.27 and 488.08

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Solution

The fourth proportional to 633.65, 875.27 and 488.08 is: 674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.65 : 875.27 = 488.08 : x
  2. Step 2: Convert to fraction form
    633.65/875.27 = 488.08/x
  3. Step 3: Cross multiply
    633.65x = 875.27 × 488.08
  4. Step 4: Simplify right side
    633.65x = 427,201.78
  5. Step 5: Solve for x
    x = 427,201.78/633.65
  6. Step 6: Final answer
    x = 674.19

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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.