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Finding the Fourth Proportional to 500.50, 691.26 and 493.67

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Solution

The fourth proportional to 500.50, 691.26 and 493.67 is: 681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 691.26 = 493.67 : x
  2. Step 2: Convert to fraction form
    500.50/691.26 = 493.67/x
  3. Step 3: Cross multiply
    500.50x = 691.26 × 493.67
  4. Step 4: Simplify right side
    500.50x = 341,254.20
  5. Step 5: Solve for x
    x = 341,254.20/500.50
  6. Step 6: Final answer
    x = 681.82

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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.