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Finding the Fourth Proportional to 1,151.41, 1,727.12 and 948.50

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Solution

The fourth proportional to 1,151.41, 1,727.12 and 948.50 is: 1,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.41 : 1,727.12 = 948.50 : x
  2. Step 2: Convert to fraction form
    1,151.41/1,727.12 = 948.50/x
  3. Step 3: Cross multiply
    1,151.41x = 1,727.12 × 948.50
  4. Step 4: Simplify right side
    1,151.41x = 1,638,173.32
  5. Step 5: Solve for x
    x = 1,638,173.32/1,151.41
  6. Step 6: Final answer
    x = 1,422.75

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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.