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Finding the Fourth Proportional to 1,241.08, 1,712.63 and 744.01

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Solution

The fourth proportional to 1,241.08, 1,712.63 and 744.01 is: 1,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.08 : 1,712.63 = 744.01 : x
  2. Step 2: Convert to fraction form
    1,241.08/1,712.63 = 744.01/x
  3. Step 3: Cross multiply
    1,241.08x = 1,712.63 × 744.01
  4. Step 4: Simplify right side
    1,241.08x = 1,274,211.42
  5. Step 5: Solve for x
    x = 1,274,211.42/1,241.08
  6. Step 6: Final answer
    x = 1,026.70

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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.