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Finding the Fourth Proportional to 518.04, 713.34 and 471.96

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Solution

The fourth proportional to 518.04, 713.34 and 471.96 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.04 : 713.34 = 471.96 : x
  2. Step 2: Convert to fraction form
    518.04/713.34 = 471.96/x
  3. Step 3: Cross multiply
    518.04x = 713.34 × 471.96
  4. Step 4: Simplify right side
    518.04x = 336,667.95
  5. Step 5: Solve for x
    x = 336,667.95/518.04
  6. Step 6: Final answer
    x = 649.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.