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Finding the Fourth Proportional to 1,277.88, 1,763.64 and 780.42

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Solution

The fourth proportional to 1,277.88, 1,763.64 and 780.42 is: 1,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.88 : 1,763.64 = 780.42 : x
  2. Step 2: Convert to fraction form
    1,277.88/1,763.64 = 780.42/x
  3. Step 3: Cross multiply
    1,277.88x = 1,763.64 × 780.42
  4. Step 4: Simplify right side
    1,277.88x = 1,376,373.32
  5. Step 5: Solve for x
    x = 1,376,373.32/1,277.88
  6. Step 6: Final answer
    x = 1,077.07

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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.