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Finding the Fourth Proportional to 517.63, 713.76 and 370.21

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Solution

The fourth proportional to 517.63, 713.76 and 370.21 is: 510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.63 : 713.76 = 370.21 : x
  2. Step 2: Convert to fraction form
    517.63/713.76 = 370.21/x
  3. Step 3: Cross multiply
    517.63x = 713.76 × 370.21
  4. Step 4: Simplify right side
    517.63x = 264,241.09
  5. Step 5: Solve for x
    x = 264,241.09/517.63
  6. Step 6: Final answer
    x = 510.48

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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.