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Finding the Fourth Proportional to 669.96, 998.34 and 647.91

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Solution

The fourth proportional to 669.96, 998.34 and 647.91 is: 965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 998.34 = 647.91 : x
  2. Step 2: Convert to fraction form
    669.96/998.34 = 647.91/x
  3. Step 3: Cross multiply
    669.96x = 998.34 × 647.91
  4. Step 4: Simplify right side
    669.96x = 646,834.47
  5. Step 5: Solve for x
    x = 646,834.47/669.96
  6. Step 6: Final answer
    x = 965.48

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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.