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Finding the Fourth Proportional to 1,139.65, 1,709.57 and 446.37

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Solution

The fourth proportional to 1,139.65, 1,709.57 and 446.37 is: 669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.65 : 1,709.57 = 446.37 : x
  2. Step 2: Convert to fraction form
    1,139.65/1,709.57 = 446.37/x
  3. Step 3: Cross multiply
    1,139.65x = 1,709.57 × 446.37
  4. Step 4: Simplify right side
    1,139.65x = 763,095.47
  5. Step 5: Solve for x
    x = 763,095.47/1,139.65
  6. Step 6: Final answer
    x = 669.59

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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.