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Finding the Fourth Proportional to 1,459.60, 2,189.75 and 419.58

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Solution

The fourth proportional to 1,459.60, 2,189.75 and 419.58 is: 629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.60 : 2,189.75 = 419.58 : x
  2. Step 2: Convert to fraction form
    1,459.60/2,189.75 = 419.58/x
  3. Step 3: Cross multiply
    1,459.60x = 2,189.75 × 419.58
  4. Step 4: Simplify right side
    1,459.60x = 918,768.78
  5. Step 5: Solve for x
    x = 918,768.78/1,459.60
  6. Step 6: Final answer
    x = 629.47

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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.