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Finding the Fourth Proportional to 517.53, 713.78 and 320.67

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Solution

The fourth proportional to 517.53, 713.78 and 320.67 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 713.78 = 320.67 : x
  2. Step 2: Convert to fraction form
    517.53/713.78 = 320.67/x
  3. Step 3: Cross multiply
    517.53x = 713.78 × 320.67
  4. Step 4: Simplify right side
    517.53x = 228,886.23
  5. Step 5: Solve for x
    x = 228,886.23/517.53
  6. Step 6: Final answer
    x = 442.27

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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.