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Finding the Fourth Proportional to 572.49, 856.12 and 468.38

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Solution

The fourth proportional to 572.49, 856.12 and 468.38 is: 700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.49 : 856.12 = 468.38 : x
  2. Step 2: Convert to fraction form
    572.49/856.12 = 468.38/x
  3. Step 3: Cross multiply
    572.49x = 856.12 × 468.38
  4. Step 4: Simplify right side
    572.49x = 400,991.33
  5. Step 5: Solve for x
    x = 400,991.33/572.49
  6. Step 6: Final answer
    x = 700.43

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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.