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Finding the Fourth Proportional to 686.25, 945.96 and 449.79

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Solution

The fourth proportional to 686.25, 945.96 and 449.79 is: 620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 945.96 = 449.79 : x
  2. Step 2: Convert to fraction form
    686.25/945.96 = 449.79/x
  3. Step 3: Cross multiply
    686.25x = 945.96 × 449.79
  4. Step 4: Simplify right side
    686.25x = 425,483.35
  5. Step 5: Solve for x
    x = 425,483.35/686.25
  6. Step 6: Final answer
    x = 620.01

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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.