Home / 1,505.67-2,258.46-410.15

Finding the Fourth Proportional to 1,505.67, 2,258.46 and 410.15

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Solution

The fourth proportional to 1,505.67, 2,258.46 and 410.15 is: 615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.67 : 2,258.46 = 410.15 : x
  2. Step 2: Convert to fraction form
    1,505.67/2,258.46 = 410.15/x
  3. Step 3: Cross multiply
    1,505.67x = 2,258.46 × 410.15
  4. Step 4: Simplify right side
    1,505.67x = 926,296.08
  5. Step 5: Solve for x
    x = 926,296.08/1,505.67
  6. Step 6: Final answer
    x = 615.21

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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.