Home / 1,600.64-2,402.45-985.54

Finding the Fourth Proportional to 1,600.64, 2,402.45 and 985.54

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Solution

The fourth proportional to 1,600.64, 2,402.45 and 985.54 is: 1,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.64 : 2,402.45 = 985.54 : x
  2. Step 2: Convert to fraction form
    1,600.64/2,402.45 = 985.54/x
  3. Step 3: Cross multiply
    1,600.64x = 2,402.45 × 985.54
  4. Step 4: Simplify right side
    1,600.64x = 2,367,717.37
  5. Step 5: Solve for x
    x = 2,367,717.37/1,600.64
  6. Step 6: Final answer
    x = 1,479.24

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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.