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Finding the Fourth Proportional to 1,765.92, 2,649.15 and 899.76

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Solution

The fourth proportional to 1,765.92, 2,649.15 and 899.76 is: 1,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.92 : 2,649.15 = 899.76 : x
  2. Step 2: Convert to fraction form
    1,765.92/2,649.15 = 899.76/x
  3. Step 3: Cross multiply
    1,765.92x = 2,649.15 × 899.76
  4. Step 4: Simplify right side
    1,765.92x = 2,383,599.20
  5. Step 5: Solve for x
    x = 2,383,599.20/1,765.92
  6. Step 6: Final answer
    x = 1,349.78

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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.