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Finding the Fourth Proportional to 1,705.20, 2,557.84 and 609.64

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Solution

The fourth proportional to 1,705.20, 2,557.84 and 609.64 is: 914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,557.84 = 609.64 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,557.84 = 609.64/x
  3. Step 3: Cross multiply
    1,705.20x = 2,557.84 × 609.64
  4. Step 4: Simplify right side
    1,705.20x = 1,559,361.58
  5. Step 5: Solve for x
    x = 1,559,361.58/1,705.20
  6. Step 6: Final answer
    x = 914.47

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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.