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Finding the Fourth Proportional to 1,290.42, 1,780.74 and 766.44

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Solution

The fourth proportional to 1,290.42, 1,780.74 and 766.44 is: 1,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.42 : 1,780.74 = 766.44 : x
  2. Step 2: Convert to fraction form
    1,290.42/1,780.74 = 766.44/x
  3. Step 3: Cross multiply
    1,290.42x = 1,780.74 × 766.44
  4. Step 4: Simplify right side
    1,290.42x = 1,364,830.37
  5. Step 5: Solve for x
    x = 1,364,830.37/1,290.42
  6. Step 6: Final answer
    x = 1,057.66

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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.