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Finding the Fourth Proportional to 1,388.51, 2,081.52 and 510.80

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Solution

The fourth proportional to 1,388.51, 2,081.52 and 510.80 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.51 : 2,081.52 = 510.80 : x
  2. Step 2: Convert to fraction form
    1,388.51/2,081.52 = 510.80/x
  3. Step 3: Cross multiply
    1,388.51x = 2,081.52 × 510.80
  4. Step 4: Simplify right side
    1,388.51x = 1,063,245.62
  5. Step 5: Solve for x
    x = 1,063,245.62/1,388.51
  6. Step 6: Final answer
    x = 765.75

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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.