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Finding the Fourth Proportional to 686.78, 948.03 and 454.46

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Solution

The fourth proportional to 686.78, 948.03 and 454.46 is: 627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.78 : 948.03 = 454.46 : x
  2. Step 2: Convert to fraction form
    686.78/948.03 = 454.46/x
  3. Step 3: Cross multiply
    686.78x = 948.03 × 454.46
  4. Step 4: Simplify right side
    686.78x = 430,841.71
  5. Step 5: Solve for x
    x = 430,841.71/686.78
  6. Step 6: Final answer
    x = 627.34

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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.