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Finding the Fourth Proportional to 1,139.78, 1,709.93 and 446.49

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Solution

The fourth proportional to 1,139.78, 1,709.93 and 446.49 is: 669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.78 : 1,709.93 = 446.49 : x
  2. Step 2: Convert to fraction form
    1,139.78/1,709.93 = 446.49/x
  3. Step 3: Cross multiply
    1,139.78x = 1,709.93 × 446.49
  4. Step 4: Simplify right side
    1,139.78x = 763,464.41
  5. Step 5: Solve for x
    x = 763,464.41/1,139.78
  6. Step 6: Final answer
    x = 669.84

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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.