Home / 1,505.10-2,258.42-735.60

Finding the Fourth Proportional to 1,505.10, 2,258.42 and 735.60

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Solution

The fourth proportional to 1,505.10, 2,258.42 and 735.60 is: 1,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.10 : 2,258.42 = 735.60 : x
  2. Step 2: Convert to fraction form
    1,505.10/2,258.42 = 735.60/x
  3. Step 3: Cross multiply
    1,505.10x = 2,258.42 × 735.60
  4. Step 4: Simplify right side
    1,505.10x = 1,661,282.46
  5. Step 5: Solve for x
    x = 1,661,282.46/1,505.10
  6. Step 6: Final answer
    x = 1,103.77

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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.