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Finding the Fourth Proportional to 1,277.04, 1,762.88 and 745.73

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Solution

The fourth proportional to 1,277.04, 1,762.88 and 745.73 is: 1,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.04 : 1,762.88 = 745.73 : x
  2. Step 2: Convert to fraction form
    1,277.04/1,762.88 = 745.73/x
  3. Step 3: Cross multiply
    1,277.04x = 1,762.88 × 745.73
  4. Step 4: Simplify right side
    1,277.04x = 1,314,626.57
  5. Step 5: Solve for x
    x = 1,314,626.57/1,277.04
  6. Step 6: Final answer
    x = 1,029.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.