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Finding the Fourth Proportional to 1,153.82, 1,732.65 and 1,144.86

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Solution

The fourth proportional to 1,153.82, 1,732.65 and 1,144.86 is: 1,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.82 : 1,732.65 = 1,144.86 : x
  2. Step 2: Convert to fraction form
    1,153.82/1,732.65 = 1,144.86/x
  3. Step 3: Cross multiply
    1,153.82x = 1,732.65 × 1,144.86
  4. Step 4: Simplify right side
    1,153.82x = 1,983,641.68
  5. Step 5: Solve for x
    x = 1,983,641.68/1,153.82
  6. Step 6: Final answer
    x = 1,719.20

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1.5x scale

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.