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Finding the Fourth Proportional to 669.58, 998.47 and 616.39

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Solution

The fourth proportional to 669.58, 998.47 and 616.39 is: 919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.58 : 998.47 = 616.39 : x
  2. Step 2: Convert to fraction form
    669.58/998.47 = 616.39/x
  3. Step 3: Cross multiply
    669.58x = 998.47 × 616.39
  4. Step 4: Simplify right side
    669.58x = 615,446.92
  5. Step 5: Solve for x
    x = 615,446.92/669.58
  6. Step 6: Final answer
    x = 919.15

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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.