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Finding the Fourth Proportional to 1,275.82, 1,760.50 and 778.58

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Solution

The fourth proportional to 1,275.82, 1,760.50 and 778.58 is: 1,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.82 : 1,760.50 = 778.58 : x
  2. Step 2: Convert to fraction form
    1,275.82/1,760.50 = 778.58/x
  3. Step 3: Cross multiply
    1,275.82x = 1,760.50 × 778.58
  4. Step 4: Simplify right side
    1,275.82x = 1,370,688.86
  5. Step 5: Solve for x
    x = 1,370,688.86/1,275.82
  6. Step 6: Final answer
    x = 1,074.36

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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.