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Finding the Fourth Proportional to 669.83, 998.18 and 647.81

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Solution

The fourth proportional to 669.83, 998.18 and 647.81 is: 965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.83 : 998.18 = 647.81 : x
  2. Step 2: Convert to fraction form
    669.83/998.18 = 647.81/x
  3. Step 3: Cross multiply
    669.83x = 998.18 × 647.81
  4. Step 4: Simplify right side
    669.83x = 646,630.24
  5. Step 5: Solve for x
    x = 646,630.24/669.83
  6. Step 6: Final answer
    x = 965.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.