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Finding the Fourth Proportional to 1,097.94, 1,646.82 and 577.74

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Solution

The fourth proportional to 1,097.94, 1,646.82 and 577.74 is: 866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.94 : 1,646.82 = 577.74 : x
  2. Step 2: Convert to fraction form
    1,097.94/1,646.82 = 577.74/x
  3. Step 3: Cross multiply
    1,097.94x = 1,646.82 × 577.74
  4. Step 4: Simplify right side
    1,097.94x = 951,433.79
  5. Step 5: Solve for x
    x = 951,433.79/1,097.94
  6. Step 6: Final answer
    x = 866.56

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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.