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Finding the Fourth Proportional to 1,152.32, 1,591.13 and 889.88

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Solution

The fourth proportional to 1,152.32, 1,591.13 and 889.88 is: 1,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.32 : 1,591.13 = 889.88 : x
  2. Step 2: Convert to fraction form
    1,152.32/1,591.13 = 889.88/x
  3. Step 3: Cross multiply
    1,152.32x = 1,591.13 × 889.88
  4. Step 4: Simplify right side
    1,152.32x = 1,415,910.32
  5. Step 5: Solve for x
    x = 1,415,910.32/1,152.32
  6. Step 6: Final answer
    x = 1,228.75

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1.5x scale

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.