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Finding the Fourth Proportional to 517.23, 713.95 and 310.23

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Solution

The fourth proportional to 517.23, 713.95 and 310.23 is: 428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 713.95 = 310.23 : x
  2. Step 2: Convert to fraction form
    517.23/713.95 = 310.23/x
  3. Step 3: Cross multiply
    517.23x = 713.95 × 310.23
  4. Step 4: Simplify right side
    517.23x = 221,488.71
  5. Step 5: Solve for x
    x = 221,488.71/517.23
  6. Step 6: Final answer
    x = 428.22

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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.