Home / 1,684.64-2,524.36-904.74

Finding the Fourth Proportional to 1,684.64, 2,524.36 and 904.74

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Solution

The fourth proportional to 1,684.64, 2,524.36 and 904.74 is: 1,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.64 : 2,524.36 = 904.74 : x
  2. Step 2: Convert to fraction form
    1,684.64/2,524.36 = 904.74/x
  3. Step 3: Cross multiply
    1,684.64x = 2,524.36 × 904.74
  4. Step 4: Simplify right side
    1,684.64x = 2,283,889.47
  5. Step 5: Solve for x
    x = 2,283,889.47/1,684.64
  6. Step 6: Final answer
    x = 1,355.71

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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.