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Finding the Fourth Proportional to 634.72, 875.82 and 365.52

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Solution

The fourth proportional to 634.72, 875.82 and 365.52 is: 504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.72 : 875.82 = 365.52 : x
  2. Step 2: Convert to fraction form
    634.72/875.82 = 365.52/x
  3. Step 3: Cross multiply
    634.72x = 875.82 × 365.52
  4. Step 4: Simplify right side
    634.72x = 320,129.73
  5. Step 5: Solve for x
    x = 320,129.73/634.72
  6. Step 6: Final answer
    x = 504.36

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1.5x scale

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.