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Finding the Fourth Proportional to 1,263.94, 1,742.92 and 766.40

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Solution

The fourth proportional to 1,263.94, 1,742.92 and 766.40 is: 1,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.94 : 1,742.92 = 766.40 : x
  2. Step 2: Convert to fraction form
    1,263.94/1,742.92 = 766.40/x
  3. Step 3: Cross multiply
    1,263.94x = 1,742.92 × 766.40
  4. Step 4: Simplify right side
    1,263.94x = 1,335,763.26
  5. Step 5: Solve for x
    x = 1,335,763.26/1,263.94
  6. Step 6: Final answer
    x = 1,056.83

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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.