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Finding the Fourth Proportional to 1,241.52, 1,720.14 and 1,157.28

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Solution

The fourth proportional to 1,241.52, 1,720.14 and 1,157.28 is: 1,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.52 : 1,720.14 = 1,157.28 : x
  2. Step 2: Convert to fraction form
    1,241.52/1,720.14 = 1,157.28/x
  3. Step 3: Cross multiply
    1,241.52x = 1,720.14 × 1,157.28
  4. Step 4: Simplify right side
    1,241.52x = 1,990,683.62
  5. Step 5: Solve for x
    x = 1,990,683.62/1,241.52
  6. Step 6: Final answer
    x = 1,603.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.