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Finding the Fourth Proportional to 1,355.56, 2,033.15 and 533.61

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Solution

The fourth proportional to 1,355.56, 2,033.15 and 533.61 is: 800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.56 : 2,033.15 = 533.61 : x
  2. Step 2: Convert to fraction form
    1,355.56/2,033.15 = 533.61/x
  3. Step 3: Cross multiply
    1,355.56x = 2,033.15 × 533.61
  4. Step 4: Simplify right side
    1,355.56x = 1,084,909.17
  5. Step 5: Solve for x
    x = 1,084,909.17/1,355.56
  6. Step 6: Final answer
    x = 800.34

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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.