Home / 1,505.74-2,258.24-410.11

Finding the Fourth Proportional to 1,505.74, 2,258.24 and 410.11

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Solution

The fourth proportional to 1,505.74, 2,258.24 and 410.11 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.74 : 2,258.24 = 410.11 : x
  2. Step 2: Convert to fraction form
    1,505.74/2,258.24 = 410.11/x
  3. Step 3: Cross multiply
    1,505.74x = 2,258.24 × 410.11
  4. Step 4: Simplify right side
    1,505.74x = 926,122.19
  5. Step 5: Solve for x
    x = 926,122.19/1,505.74
  6. Step 6: Final answer
    x = 615.06

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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.