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Finding the Fourth Proportional to 686.86, 948.26 and 454.40

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Solution

The fourth proportional to 686.86, 948.26 and 454.40 is: 627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.86 : 948.26 = 454.40 : x
  2. Step 2: Convert to fraction form
    686.86/948.26 = 454.40/x
  3. Step 3: Cross multiply
    686.86x = 948.26 × 454.40
  4. Step 4: Simplify right side
    686.86x = 430,889.34
  5. Step 5: Solve for x
    x = 430,889.34/686.86
  6. Step 6: Final answer
    x = 627.33

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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.