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Finding the Fourth Proportional to 574.10, 856.75 and 512.60

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Solution

The fourth proportional to 574.10, 856.75 and 512.60 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.10 : 856.75 = 512.60 : x
  2. Step 2: Convert to fraction form
    574.10/856.75 = 512.60/x
  3. Step 3: Cross multiply
    574.10x = 856.75 × 512.60
  4. Step 4: Simplify right side
    574.10x = 439,166.89
  5. Step 5: Solve for x
    x = 439,166.89/574.10
  6. Step 6: Final answer
    x = 764.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.