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Finding the Fourth Proportional to 647.64, 969.66 and 338.82

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Solution

The fourth proportional to 647.64, 969.66 and 338.82 is: 507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 969.66 = 338.82 : x
  2. Step 2: Convert to fraction form
    647.64/969.66 = 338.82/x
  3. Step 3: Cross multiply
    647.64x = 969.66 × 338.82
  4. Step 4: Simplify right side
    647.64x = 328,540.20
  5. Step 5: Solve for x
    x = 328,540.20/647.64
  6. Step 6: Final answer
    x = 507.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.