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Finding the Fourth Proportional to 1,261.86, 1,891.14 and 645.04

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Solution

The fourth proportional to 1,261.86, 1,891.14 and 645.04 is: 966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.86 : 1,891.14 = 645.04 : x
  2. Step 2: Convert to fraction form
    1,261.86/1,891.14 = 645.04/x
  3. Step 3: Cross multiply
    1,261.86x = 1,891.14 × 645.04
  4. Step 4: Simplify right side
    1,261.86x = 1,219,860.95
  5. Step 5: Solve for x
    x = 1,219,860.95/1,261.86
  6. Step 6: Final answer
    x = 966.72

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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.