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Finding the Fourth Proportional to 688.50, 949.32 and 491.67

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Solution

The fourth proportional to 688.50, 949.32 and 491.67 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.50 : 949.32 = 491.67 : x
  2. Step 2: Convert to fraction form
    688.50/949.32 = 491.67/x
  3. Step 3: Cross multiply
    688.50x = 949.32 × 491.67
  4. Step 4: Simplify right side
    688.50x = 466,752.16
  5. Step 5: Solve for x
    x = 466,752.16/688.50
  6. Step 6: Final answer
    x = 677.93

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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.