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Finding the Fourth Proportional to 1,275.89, 1,761.05 and 778.45

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Solution

The fourth proportional to 1,275.89, 1,761.05 and 778.45 is: 1,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.89 : 1,761.05 = 778.45 : x
  2. Step 2: Convert to fraction form
    1,275.89/1,761.05 = 778.45/x
  3. Step 3: Cross multiply
    1,275.89x = 1,761.05 × 778.45
  4. Step 4: Simplify right side
    1,275.89x = 1,370,889.37
  5. Step 5: Solve for x
    x = 1,370,889.37/1,275.89
  6. Step 6: Final answer
    x = 1,074.46

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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.