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Finding the Fourth Proportional to 686.68, 948.87 and 520.60

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Solution

The fourth proportional to 686.68, 948.87 and 520.60 is: 719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.68 : 948.87 = 520.60 : x
  2. Step 2: Convert to fraction form
    686.68/948.87 = 520.60/x
  3. Step 3: Cross multiply
    686.68x = 948.87 × 520.60
  4. Step 4: Simplify right side
    686.68x = 493,981.72
  5. Step 5: Solve for x
    x = 493,981.72/686.68
  6. Step 6: Final answer
    x = 719.38

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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.