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Finding the Fourth Proportional to 539.06, 803.15 and 512.94

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Solution

The fourth proportional to 539.06, 803.15 and 512.94 is: 764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.06 : 803.15 = 512.94 : x
  2. Step 2: Convert to fraction form
    539.06/803.15 = 512.94/x
  3. Step 3: Cross multiply
    539.06x = 803.15 × 512.94
  4. Step 4: Simplify right side
    539.06x = 411,965.20
  5. Step 5: Solve for x
    x = 411,965.20/539.06
  6. Step 6: Final answer
    x = 764.24

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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.