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Finding the Fourth Proportional to 1,314.42, 1,813.82 and 783.90

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Solution

The fourth proportional to 1,314.42, 1,813.82 and 783.90 is: 1,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,813.82 = 783.90 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,813.82 = 783.90/x
  3. Step 3: Cross multiply
    1,314.42x = 1,813.82 × 783.90
  4. Step 4: Simplify right side
    1,314.42x = 1,421,853.50
  5. Step 5: Solve for x
    x = 1,421,853.50/1,314.42
  6. Step 6: Final answer
    x = 1,081.73

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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.