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Finding the Fourth Proportional to 686.89, 941.55 and 677.66

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Solution

The fourth proportional to 686.89, 941.55 and 677.66 is: 928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.89 : 941.55 = 677.66 : x
  2. Step 2: Convert to fraction form
    686.89/941.55 = 677.66/x
  3. Step 3: Cross multiply
    686.89x = 941.55 × 677.66
  4. Step 4: Simplify right side
    686.89x = 638,050.77
  5. Step 5: Solve for x
    x = 638,050.77/686.89
  6. Step 6: Final answer
    x = 928.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.