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Finding the Fourth Proportional to 1,204.64, 1,805.29 and 587.11

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Solution

The fourth proportional to 1,204.64, 1,805.29 and 587.11 is: 879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.64 : 1,805.29 = 587.11 : x
  2. Step 2: Convert to fraction form
    1,204.64/1,805.29 = 587.11/x
  3. Step 3: Cross multiply
    1,204.64x = 1,805.29 × 587.11
  4. Step 4: Simplify right side
    1,204.64x = 1,059,903.81
  5. Step 5: Solve for x
    x = 1,059,903.81/1,204.64
  6. Step 6: Final answer
    x = 879.85

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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.