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Finding the Fourth Proportional to 634.50, 875.30 and 410.36

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Solution

The fourth proportional to 634.50, 875.30 and 410.36 is: 566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 875.30 = 410.36 : x
  2. Step 2: Convert to fraction form
    634.50/875.30 = 410.36/x
  3. Step 3: Cross multiply
    634.50x = 875.30 × 410.36
  4. Step 4: Simplify right side
    634.50x = 359,181.68
  5. Step 5: Solve for x
    x = 359,181.68/634.50
  6. Step 6: Final answer
    x = 566.09

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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.