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Finding the Fourth Proportional to 686.82, 947.13 and 450.69

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Solution

The fourth proportional to 686.82, 947.13 and 450.69 is: 621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.82 : 947.13 = 450.69 : x
  2. Step 2: Convert to fraction form
    686.82/947.13 = 450.69/x
  3. Step 3: Cross multiply
    686.82x = 947.13 × 450.69
  4. Step 4: Simplify right side
    686.82x = 426,861.34
  5. Step 5: Solve for x
    x = 426,861.34/686.82
  6. Step 6: Final answer
    x = 621.51

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1.5x scale

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.