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Finding the Fourth Proportional to 634.18, 875.54 and 421.67

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Solution

The fourth proportional to 634.18, 875.54 and 421.67 is: 582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.18 : 875.54 = 421.67 : x
  2. Step 2: Convert to fraction form
    634.18/875.54 = 421.67/x
  3. Step 3: Cross multiply
    634.18x = 875.54 × 421.67
  4. Step 4: Simplify right side
    634.18x = 369,184.57
  5. Step 5: Solve for x
    x = 369,184.57/634.18
  6. Step 6: Final answer
    x = 582.14

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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.