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Finding the Fourth Proportional to 1,261.74, 1,741.65 and 730.86

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Solution

The fourth proportional to 1,261.74, 1,741.65 and 730.86 is: 1,008.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.74 : 1,741.65 = 730.86 : x
  2. Step 2: Convert to fraction form
    1,261.74/1,741.65 = 730.86/x
  3. Step 3: Cross multiply
    1,261.74x = 1,741.65 × 730.86
  4. Step 4: Simplify right side
    1,261.74x = 1,272,902.32
  5. Step 5: Solve for x
    x = 1,272,902.32/1,261.74
  6. Step 6: Final answer
    x = 1,008.85

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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.