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Finding the Fourth Proportional to 1,252.56, 1,878.85 and 431.07

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Solution

The fourth proportional to 1,252.56, 1,878.85 and 431.07 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.56 : 1,878.85 = 431.07 : x
  2. Step 2: Convert to fraction form
    1,252.56/1,878.85 = 431.07/x
  3. Step 3: Cross multiply
    1,252.56x = 1,878.85 × 431.07
  4. Step 4: Simplify right side
    1,252.56x = 809,917.51
  5. Step 5: Solve for x
    x = 809,917.51/1,252.56
  6. Step 6: Final answer
    x = 646.61

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1.5x scale

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.