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Finding the Fourth Proportional to 1,659.67, 2,489.64 and 473.69

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Solution

The fourth proportional to 1,659.67, 2,489.64 and 473.69 is: 710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.67 : 2,489.64 = 473.69 : x
  2. Step 2: Convert to fraction form
    1,659.67/2,489.64 = 473.69/x
  3. Step 3: Cross multiply
    1,659.67x = 2,489.64 × 473.69
  4. Step 4: Simplify right side
    1,659.67x = 1,179,322.02
  5. Step 5: Solve for x
    x = 1,179,322.02/1,659.67
  6. Step 6: Final answer
    x = 710.58

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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.