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Finding the Fourth Proportional to 686.82, 945.90 and 651.63

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Solution

The fourth proportional to 686.82, 945.90 and 651.63 is: 897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.82 : 945.90 = 651.63 : x
  2. Step 2: Convert to fraction form
    686.82/945.90 = 651.63/x
  3. Step 3: Cross multiply
    686.82x = 945.90 × 651.63
  4. Step 4: Simplify right side
    686.82x = 616,376.82
  5. Step 5: Solve for x
    x = 616,376.82/686.82
  6. Step 6: Final answer
    x = 897.44

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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.