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Finding the Fourth Proportional to 1,250.91, 1,726.03 and 802.87

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Solution

The fourth proportional to 1,250.91, 1,726.03 and 802.87 is: 1,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.91 : 1,726.03 = 802.87 : x
  2. Step 2: Convert to fraction form
    1,250.91/1,726.03 = 802.87/x
  3. Step 3: Cross multiply
    1,250.91x = 1,726.03 × 802.87
  4. Step 4: Simplify right side
    1,250.91x = 1,385,774.39
  5. Step 5: Solve for x
    x = 1,385,774.39/1,250.91
  6. Step 6: Final answer
    x = 1,107.81

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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.