Home / 1,505.60-2,258.39-409.96

Finding the Fourth Proportional to 1,505.60, 2,258.39 and 409.96

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Solution

The fourth proportional to 1,505.60, 2,258.39 and 409.96 is: 614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.60 : 2,258.39 = 409.96 : x
  2. Step 2: Convert to fraction form
    1,505.60/2,258.39 = 409.96/x
  3. Step 3: Cross multiply
    1,505.60x = 2,258.39 × 409.96
  4. Step 4: Simplify right side
    1,505.60x = 925,836.22
  5. Step 5: Solve for x
    x = 925,836.22/1,505.60
  6. Step 6: Final answer
    x = 614.93

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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.