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Finding the Fourth Proportional to 1,705.48, 2,553.90 and 1,054.24

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Solution

The fourth proportional to 1,705.48, 2,553.90 and 1,054.24 is: 1,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.48 : 2,553.90 = 1,054.24 : x
  2. Step 2: Convert to fraction form
    1,705.48/2,553.90 = 1,054.24/x
  3. Step 3: Cross multiply
    1,705.48x = 2,553.90 × 1,054.24
  4. Step 4: Simplify right side
    1,705.48x = 2,692,423.54
  5. Step 5: Solve for x
    x = 2,692,423.54/1,705.48
  6. Step 6: Final answer
    x = 1,578.69

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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.