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Finding the Fourth Proportional to 518.63, 713.61 and 500.67

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Solution

The fourth proportional to 518.63, 713.61 and 500.67 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.63 : 713.61 = 500.67 : x
  2. Step 2: Convert to fraction form
    518.63/713.61 = 500.67/x
  3. Step 3: Cross multiply
    518.63x = 713.61 × 500.67
  4. Step 4: Simplify right side
    518.63x = 357,283.12
  5. Step 5: Solve for x
    x = 357,283.12/518.63
  6. Step 6: Final answer
    x = 688.90

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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.