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Finding the Fourth Proportional to 1,505.94, 2,258.97 and 639.66

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Solution

The fourth proportional to 1,505.94, 2,258.97 and 639.66 is: 959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.94 : 2,258.97 = 639.66 : x
  2. Step 2: Convert to fraction form
    1,505.94/2,258.97 = 639.66/x
  3. Step 3: Cross multiply
    1,505.94x = 2,258.97 × 639.66
  4. Step 4: Simplify right side
    1,505.94x = 1,444,972.75
  5. Step 5: Solve for x
    x = 1,444,972.75/1,505.94
  6. Step 6: Final answer
    x = 959.52

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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.