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Finding the Fourth Proportional to 1,252.70, 1,728.86 and 903.59

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Solution

The fourth proportional to 1,252.70, 1,728.86 and 903.59 is: 1,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.70 : 1,728.86 = 903.59 : x
  2. Step 2: Convert to fraction form
    1,252.70/1,728.86 = 903.59/x
  3. Step 3: Cross multiply
    1,252.70x = 1,728.86 × 903.59
  4. Step 4: Simplify right side
    1,252.70x = 1,562,167.45
  5. Step 5: Solve for x
    x = 1,562,167.45/1,252.70
  6. Step 6: Final answer
    x = 1,247.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.