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Finding the Fourth Proportional to 1,505, 2,258.40 and 735.50

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Solution

The fourth proportional to 1,505, 2,258.40 and 735.50 is: 1,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505 : 2,258.40 = 735.50 : x
  2. Step 2: Convert to fraction form
    1,505/2,258.40 = 735.50/x
  3. Step 3: Cross multiply
    1,505x = 2,258.40 × 735.50
  4. Step 4: Simplify right side
    1,505x = 1,661,053.20
  5. Step 5: Solve for x
    x = 1,661,053.20/1,505
  6. Step 6: Final answer
    x = 1,103.69

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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.