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Finding the Fourth Proportional to 1,256.80, 1,886.58 and 709.54

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Solution

The fourth proportional to 1,256.80, 1,886.58 and 709.54 is: 1,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.80 : 1,886.58 = 709.54 : x
  2. Step 2: Convert to fraction form
    1,256.80/1,886.58 = 709.54/x
  3. Step 3: Cross multiply
    1,256.80x = 1,886.58 × 709.54
  4. Step 4: Simplify right side
    1,256.80x = 1,338,603.97
  5. Step 5: Solve for x
    x = 1,338,603.97/1,256.80
  6. Step 6: Final answer
    x = 1,065.09

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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.