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Finding the Fourth Proportional to 1,236.66, 1,855.59 and 587.46

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Solution

The fourth proportional to 1,236.66, 1,855.59 and 587.46 is: 881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.66 : 1,855.59 = 587.46 : x
  2. Step 2: Convert to fraction form
    1,236.66/1,855.59 = 587.46/x
  3. Step 3: Cross multiply
    1,236.66x = 1,855.59 × 587.46
  4. Step 4: Simplify right side
    1,236.66x = 1,090,084.90
  5. Step 5: Solve for x
    x = 1,090,084.90/1,236.66
  6. Step 6: Final answer
    x = 881.48

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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.