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Finding the Fourth Proportional to 1,455.60, 2,184.21 and 806.25

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Solution

The fourth proportional to 1,455.60, 2,184.21 and 806.25 is: 1,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.60 : 2,184.21 = 806.25 : x
  2. Step 2: Convert to fraction form
    1,455.60/2,184.21 = 806.25/x
  3. Step 3: Cross multiply
    1,455.60x = 2,184.21 × 806.25
  4. Step 4: Simplify right side
    1,455.60x = 1,761,019.31
  5. Step 5: Solve for x
    x = 1,761,019.31/1,455.60
  6. Step 6: Final answer
    x = 1,209.82

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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.