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Finding the Fourth Proportional to 1,291.85, 1,783.21 and 767.88

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Solution

The fourth proportional to 1,291.85, 1,783.21 and 767.88 is: 1,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.85 : 1,783.21 = 767.88 : x
  2. Step 2: Convert to fraction form
    1,291.85/1,783.21 = 767.88/x
  3. Step 3: Cross multiply
    1,291.85x = 1,783.21 × 767.88
  4. Step 4: Simplify right side
    1,291.85x = 1,369,282.38
  5. Step 5: Solve for x
    x = 1,369,282.38/1,291.85
  6. Step 6: Final answer
    x = 1,059.94

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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.