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Finding the Fourth Proportional to 572.18, 856.43 and 450.68

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Solution

The fourth proportional to 572.18, 856.43 and 450.68 is: 674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.18 : 856.43 = 450.68 : x
  2. Step 2: Convert to fraction form
    572.18/856.43 = 450.68/x
  3. Step 3: Cross multiply
    572.18x = 856.43 × 450.68
  4. Step 4: Simplify right side
    572.18x = 385,972.72
  5. Step 5: Solve for x
    x = 385,972.72/572.18
  6. Step 6: Final answer
    x = 674.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.