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Finding the Fourth Proportional to 1,140.49, 1,709.56 and 446.77

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Solution

The fourth proportional to 1,140.49, 1,709.56 and 446.77 is: 669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.49 : 1,709.56 = 446.77 : x
  2. Step 2: Convert to fraction form
    1,140.49/1,709.56 = 446.77/x
  3. Step 3: Cross multiply
    1,140.49x = 1,709.56 × 446.77
  4. Step 4: Simplify right side
    1,140.49x = 763,780.12
  5. Step 5: Solve for x
    x = 763,780.12/1,140.49
  6. Step 6: Final answer
    x = 669.69

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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.