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Finding the Fourth Proportional to 573.83, 856.34 and 512.31

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Solution

The fourth proportional to 573.83, 856.34 and 512.31 is: 764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.83 : 856.34 = 512.31 : x
  2. Step 2: Convert to fraction form
    573.83/856.34 = 512.31/x
  3. Step 3: Cross multiply
    573.83x = 856.34 × 512.31
  4. Step 4: Simplify right side
    573.83x = 438,714.12
  5. Step 5: Solve for x
    x = 438,714.12/573.83
  6. Step 6: Final answer
    x = 764.54

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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.