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Finding the Fourth Proportional to 1,137.85, 1,705.92 and 521.23

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Solution

The fourth proportional to 1,137.85, 1,705.92 and 521.23 is: 781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.85 : 1,705.92 = 521.23 : x
  2. Step 2: Convert to fraction form
    1,137.85/1,705.92 = 521.23/x
  3. Step 3: Cross multiply
    1,137.85x = 1,705.92 × 521.23
  4. Step 4: Simplify right side
    1,137.85x = 889,176.68
  5. Step 5: Solve for x
    x = 889,176.68/1,137.85
  6. Step 6: Final answer
    x = 781.45

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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.