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Finding the Fourth Proportional to 1,429.59, 2,144.36 and 455.68

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Solution

The fourth proportional to 1,429.59, 2,144.36 and 455.68 is: 683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.59 : 2,144.36 = 455.68 : x
  2. Step 2: Convert to fraction form
    1,429.59/2,144.36 = 455.68/x
  3. Step 3: Cross multiply
    1,429.59x = 2,144.36 × 455.68
  4. Step 4: Simplify right side
    1,429.59x = 977,141.96
  5. Step 5: Solve for x
    x = 977,141.96/1,429.59
  6. Step 6: Final answer
    x = 683.51

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Double scale
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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.