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Finding the Fourth Proportional to 699.29, 964.49 and 462.82

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Solution

The fourth proportional to 699.29, 964.49 and 462.82 is: 638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.29 : 964.49 = 462.82 : x
  2. Step 2: Convert to fraction form
    699.29/964.49 = 462.82/x
  3. Step 3: Cross multiply
    699.29x = 964.49 × 462.82
  4. Step 4: Simplify right side
    699.29x = 446,380.54
  5. Step 5: Solve for x
    x = 446,380.54/699.29
  6. Step 6: Final answer
    x = 638.34

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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.