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Finding the Fourth Proportional to 1,276.49, 1,913.88 and 691.11

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Solution

The fourth proportional to 1,276.49, 1,913.88 and 691.11 is: 1,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.49 : 1,913.88 = 691.11 : x
  2. Step 2: Convert to fraction form
    1,276.49/1,913.88 = 691.11/x
  3. Step 3: Cross multiply
    1,276.49x = 1,913.88 × 691.11
  4. Step 4: Simplify right side
    1,276.49x = 1,322,701.61
  5. Step 5: Solve for x
    x = 1,322,701.61/1,276.49
  6. Step 6: Final answer
    x = 1,036.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.