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Finding the Fourth Proportional to 1,236.74, 1,854.09 and 533.66

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Solution

The fourth proportional to 1,236.74, 1,854.09 and 533.66 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.74 : 1,854.09 = 533.66 : x
  2. Step 2: Convert to fraction form
    1,236.74/1,854.09 = 533.66/x
  3. Step 3: Cross multiply
    1,236.74x = 1,854.09 × 533.66
  4. Step 4: Simplify right side
    1,236.74x = 989,444.40
  5. Step 5: Solve for x
    x = 989,444.40/1,236.74
  6. Step 6: Final answer
    x = 800.05

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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.