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Finding the Fourth Proportional to 1,609.47, 2,409.65 and 1,023.02

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Solution

The fourth proportional to 1,609.47, 2,409.65 and 1,023.02 is: 1,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.47 : 2,409.65 = 1,023.02 : x
  2. Step 2: Convert to fraction form
    1,609.47/2,409.65 = 1,023.02/x
  3. Step 3: Cross multiply
    1,609.47x = 2,409.65 × 1,023.02
  4. Step 4: Simplify right side
    1,609.47x = 2,465,102.98
  5. Step 5: Solve for x
    x = 2,465,102.98/1,609.47
  6. Step 6: Final answer
    x = 1,531.63

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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.