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Finding the Fourth Proportional to 1,700.18, 2,550.54 and 726.29

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Solution

The fourth proportional to 1,700.18, 2,550.54 and 726.29 is: 1,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.18 : 2,550.54 = 726.29 : x
  2. Step 2: Convert to fraction form
    1,700.18/2,550.54 = 726.29/x
  3. Step 3: Cross multiply
    1,700.18x = 2,550.54 × 726.29
  4. Step 4: Simplify right side
    1,700.18x = 1,852,431.70
  5. Step 5: Solve for x
    x = 1,852,431.70/1,700.18
  6. Step 6: Final answer
    x = 1,089.55

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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.