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Finding the Fourth Proportional to 1,257.43, 1,886.66 and 436.29

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Solution

The fourth proportional to 1,257.43, 1,886.66 and 436.29 is: 654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.43 : 1,886.66 = 436.29 : x
  2. Step 2: Convert to fraction form
    1,257.43/1,886.66 = 436.29/x
  3. Step 3: Cross multiply
    1,257.43x = 1,886.66 × 436.29
  4. Step 4: Simplify right side
    1,257.43x = 823,130.89
  5. Step 5: Solve for x
    x = 823,130.89/1,257.43
  6. Step 6: Final answer
    x = 654.61

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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.