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Finding the Fourth Proportional to 634.72, 875.91 and 386.05

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Solution

The fourth proportional to 634.72, 875.91 and 386.05 is: 532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.72 : 875.91 = 386.05 : x
  2. Step 2: Convert to fraction form
    634.72/875.91 = 386.05/x
  3. Step 3: Cross multiply
    634.72x = 875.91 × 386.05
  4. Step 4: Simplify right side
    634.72x = 338,145.06
  5. Step 5: Solve for x
    x = 338,145.06/634.72
  6. Step 6: Final answer
    x = 532.75

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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.