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Finding the Fourth Proportional to 686.88, 948.24 and 491.67

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Solution

The fourth proportional to 686.88, 948.24 and 491.67 is: 678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 948.24 = 491.67 : x
  2. Step 2: Convert to fraction form
    686.88/948.24 = 491.67/x
  3. Step 3: Cross multiply
    686.88x = 948.24 × 491.67
  4. Step 4: Simplify right side
    686.88x = 466,221.16
  5. Step 5: Solve for x
    x = 466,221.16/686.88
  6. Step 6: Final answer
    x = 678.75

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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.