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Finding the Fourth Proportional to 1,140.02, 1,709.94 and 446.56

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Solution

The fourth proportional to 1,140.02, 1,709.94 and 446.56 is: 669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.02 : 1,709.94 = 446.56 : x
  2. Step 2: Convert to fraction form
    1,140.02/1,709.94 = 446.56/x
  3. Step 3: Cross multiply
    1,140.02x = 1,709.94 × 446.56
  4. Step 4: Simplify right side
    1,140.02x = 763,590.81
  5. Step 5: Solve for x
    x = 763,590.81/1,140.02
  6. Step 6: Final answer
    x = 669.80

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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.